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Existence of Asymmetric Vortex Patch for the Generalized SQG Equations
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2025
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Edison Cuba
Lucas C. F. Ferreira
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Dispersive estimates and generalized Boussinesq equation on hyperbolic
spaces with rough initial data
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2024
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Lucas C. F. Ferreira
Pham Truong Xuan
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On the well-posedness of the Hall-MHD system in a critical setting of
Besov-Morrey type
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2024
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Lucas C. F. Ferreira
Renata Silva
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On a localization-in-frequency approach for a class of elliptic problems with singular boundary data
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2024
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Lucas C. F. Ferreira
Wender S. Lagoin
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Existence of stationary vortex patches for the gSQG in bounded domains
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2024
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Vladimir Angulo-Castillo
Edison Cuba
Lucas C. F. Ferreira
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On bilinear estimates and critical uniqueness classes for Navier-Stokes equations
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2024
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Lucas C. F. Ferreira
Jhean E. Pérez-López
Julio C. Valencia-Guevara
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Global solutions for a 2D chemotaxis-fluid system with large measures as initial density and vorticity
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2024
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Lucas C. F. Ferreira
Daniel P. A. Lima
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PDF
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Long-time solvability for the 2D inviscid Boussinesq equations with borderline regularity and dispersive effects
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2023
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Vladimir Angulo-Castillo
Lucas C. F. Ferreira
Leonardo Kosloff
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On the well-posedness in Besov–Herz spaces for the inhomogeneous incompressible Euler equations
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2023
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Lucas C. F. Ferreira
Daniel Ferreira Machado
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An approach to elliptic equations with nonlinear gradient terms via a modulation framework
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2023
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Lucas C. F. Ferreira
Wender S. Lagoin
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+
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On the well-posedness in Besov-Herz spaces for the inhomogeneous incompressible Euler equations
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2023
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Lucas C. F. Ferreira
Daniel Ferreira Machado
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+
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Well-posedness and scattering for wave equations on hyperbolic spaces with singular data
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2023
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Lucas C. F. Ferreira
Pham Truong Xuan
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+
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Global solutions for a 2D chemotaxis-fluid system with large measures as initial density and vorticity
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2023
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Lucas C. F. Ferreira
Daniel P. A. Lima
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On uniqueness of mild solutions for Boussinesq equations in Morrey-type spaces
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2022
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Lucas C. F. Ferreira
Pham Truong Xuan
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+
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Global well-posedness, regularity and blow-up for the β-CCF model
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2022
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Lucas C. F. Ferreira
Valter V. C. Moitinho
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On a 1D model with nonlocal interactions and mass concentrations: an analytical-numerical approach*
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2022
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Eduardo Abreu
Lucas C. F. Ferreira
J Galeano
John Pérez
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Existence of vortex sheet solutions to the SQG Equation
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2022
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Edison Cuba
Lucas C. F. Ferreira
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+
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Long-time solvability for the 2D inviscid Boussinesq equations with borderline regularity and dispersive effects
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2022
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Vladimir Angulo-Castillo
Lucas C. F. Ferreira
Leonardo Kosloff
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On bilinear estimates and critical uniqueness classes for Navier-Stokes equations
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2022
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Lucas C. F. Ferreira
Jhean E. Pérez-López
Julio C. Valencia-Guevara
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+
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Local and global analysis in Besov-Morrey spaces for inhomogeneous Navier-Stokes equations
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2022
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Lucas C. F. Ferreira
Daniel Ferreira Machado
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+
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Existence of asymmetric vortex patch for the generalized SQG equations
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2022
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Edison Cuba
Lucas C. F. Ferreira
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+
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On the well-posedness of the incompressible Euler equations in a larger space of Besov–Morrey type
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2021
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Lucas C. F. Ferreira
Jhean E. Pérez-López
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+
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On the uniqueness of mild solutions for the parabolic-elliptic Keller-Segel system in the critical $ L^{p} $-space
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2021
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Lucas C. F. Ferreira
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PDF
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Global well-posedness for the fractional Boussinesq–Coriolis system with stratification in a framework of Fourier–Besov type
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2021
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Leithold L. Aurazo-Alvarez
Lucas C. F. Ferreira
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On singular elliptic boundary value problems via a harmonic analysis approach
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2021
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Nestor F. Castañeda-Centurión
Lucas C. F. Ferreira
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+
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On a weighted trace embedding and applications to critical boundary problems<sup>†</sup>
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2021
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Lucas C. F. Ferreira
Marcelo F. Furtado
Everaldo S. Medeiros
J. P. P. da Silva
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Global Existence for an Attraction–Repulsion Chemotaxis-Fluid System in a Framework of Besov–Morrey type
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2020
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Abelardo Duarte-Rodríguez
Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type
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2020
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Leithold L. Aurazo-Alvarez
Lucas C. F. Ferreira
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Global well-posedness and self-similarity for semilinear wave equations in a time-weighted framework of Besov type
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2020
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Lucas C. F. Ferreira
Jhean E. Pérez-López
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Global smoothness for a 1D supercritical transport model with nonlocal velocity
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2020
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Lucas C. F. Ferreira
Valter V. C. Moitinho
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PDF
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Long-time solvability in Besov spaces for the inviscid 3D-Boussinesq-Coriolis equations
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2020
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Vladimir Angulo-Castillo
Lucas C. F. Ferreira
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Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type
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2020
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Leithold L. Aurazo-Alvarez
Lucas C. F. Ferreira
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PDF
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Long-time solvability for the 2D dispersive SQG equation with improved regularity
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2019
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Vladimir Angulo-Castillo
Lucas C. F. Ferreira
Leonardo Kosloff
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On the two-power nonlinear Schr\"odinger equation with non-local terms in Sobolev-Lorentz spaces
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2019
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Vanessa Barros
Lucas C. F. Ferreira
Ademir Pastor
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PDF
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On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev–Lorentz spaces
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2019
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Vanessa Barros
Lucas C. F. Ferreira
Ademir Pastor
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PDF
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Bilinear estimates and uniqueness for Navier–Stokes equations in critical Besov-type spaces
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2019
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Lucas C. F. Ferreira
Jhean E. Pérez-López
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PDF
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Global well-posedness and asymptotic behavior in Besov-Morrey spaces for chemotaxis-Navier-Stokes fluids
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2019
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Lucas C. F. Ferreira
Monisse Postigo
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Global well-posedness and asymptotic behavior for Navier–Stokes–Coriolis equations in homogeneous Besov spaces
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2019
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Lucas C. F. Ferreira
Vladimir Angulo-Castillo
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On the eventual local positivity for polyharmonic heat equations
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2019
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Lucas C. F. Ferreira
Vanderley Ferreira
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PDF
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An elliptic equation with random potential and supercritical nonlinearity
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2019
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Leandro Cioletti
Lucas C. F. Ferreira
Marco Túlio Furtado
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Minimizing movement for a fractional porous medium equation in a periodic setting
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2019
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Lucas C. F. Ferreira
Matheus C. Santos
Julio C. Valencia-Guevara
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On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz spaces
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2019
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Vanessa Andrade de Barros
Lucas C. F. Ferreira
Ademir Pastor
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Global smoothness for a 1D supercritical transport model with nonlocal velocity
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2018
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Lucas C. F. Ferreira
Valter V. C. Moitinho
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PDF
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Global existence for an attraction-repulsion chemotaxis fluid model with logistic source
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2018
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Abelardo Duarte-Rodríguez
Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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On elliptic equations with singular potentials and nonlinear boundary conditions
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2018
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Lucas C. F. Ferreira
Sérgio L. N. Neves
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PDF
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Besov-weak-Herz spaces and global solutions for Navier–Stokes equations
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2018
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Lucas C. F. Ferreira
Jhean E. Pérez-López
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Global stability of large solutions for the Navier–Stokes equations with Navier boundary conditions
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2018
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Maicon J. Benvenutti
Lucas C. F. Ferreira
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PDF
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On the product in Besov-Lorentz-Morrey spaces and existence of solutions for the stationary Boussinesq equations
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2018
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Lucas C. F. Ferreira
Jhean E. Pérez-López
Élder J. Villamizar‐Roa
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PDF
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On the 3D Euler equations with Coriolis force in borderline Besov spaces
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2018
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Vladimir Angulo-Castillo
Lucas C. F. Ferreira
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Global smoothness for a 1D supercritical transport model with nonlocal velocity
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2018
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Lucas C. F. Ferreira
Valter V. C. Moitinho
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+
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Global well-posedness and asymptotic behavior for Navier-Stokes-Coriolis equations in homogeneous Besov spaces
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2017
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Lucas C. F. Ferreira
Vladimir Angulo-Castillo
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Global existence for an attraction-repulsion chemotaxis fluid model with logistic source
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2017
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Abelardo Duarte-Rodríguez
Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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A Fourier Analysis Approach to Elliptic Equations with Critical Potentials and Nonlinear Derivative Terms
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2017
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Lucas C. F. Ferreira
Nestor F. Castañeda-Centurión
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On the 3D Euler equations with Coriolis force in borderline Besov spaces
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2017
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Lucas C. F. Ferreira
Vladimir Angulo-Castillo
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+
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On the theory of Besov–Herz spaces and Euler equations
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2017
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Lucas C. F. Ferreira
Jhean E. Pérez-López
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Solutions in Bessel‐potential spaces for wave equations with nonlinear damping
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2017
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Carlos Banquet
Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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Besov-weak-Herz spaces and global solutions for Navier-Stokes equations
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2017
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Lucas C. F. Ferreira
Jhean E. Pérez-López
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PDF
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Gradient flows of time-dependent functionals in metric spaces and applications to PDEs
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2017
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Lucas C. F. Ferreira
Julio C. Valencia-Guevara
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PDF
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Time-weighted estimates in Lorentz spaces and self-similarity for wave equations with singular potentials
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2017
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Marcelo F. de Almeida
Lucas C. F. Ferreira
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Uniform global well-posedness of the Navier–Stokes–Coriolis system in a new critical space
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2017
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Marcelo F. de Almeida
Lucas C. F. Ferreira
Lidiane S. M. Lima
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Global existence for an attraction-repulsion chemotaxis fluid model with logistic source
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2017
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Abelardo Duarte-Rodríguez
Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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+
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Global well-posedness and asymptotic behavior for Navier-Stokes-Coriolis equations in homogeneous Besov spaces
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2017
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Lucas C. F. Ferreira
Vladimir Angulo-Castillo
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+
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On the 3D Euler equations with Coriolis force in borderline Besov spaces
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2017
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Lucas C. F. Ferreira
Vladimir Angulo-Castillo
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+
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Besov-weak-Herz spaces and global solutions for Navier-Stokes equations
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2017
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Lucas C. F. Ferreira
Jhean E. Pérez-López
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Existence and symmetry for elliptic equations in ℝ n with arbitrary growth in the gradient
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2016
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Lucas C. F. Ferreira
Marcelo Montenegro
Matheus C. Santos
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PDF
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On the Heat Equation with Nonlinearity and Singular Anisotropic Potential on the Boundary
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2016
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Marcelo F. de Almeida
Lucas C. F. Ferreira
Juliana C. Precioso
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Existence and stability of global large strong solutions for the Hall-MHD system
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2016
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Maicon J. Benvenutti
Lucas C. F. Ferreira
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PDF
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Global well-posedness and symmetries for dissipative active scalar equations with positive-order couplings
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2016
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Lucas C. F. Ferreira
Lourival Lima
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Decay of solutions to dissipative modified quasi-geostrophic equations
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2016
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Lucas C. F. Ferreira
César J. Niche
Gabriela Planas
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Minimizing Movement for a Fractional Porous Medium Equation in a Periodic Setting
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2016
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Lucas C. F. Ferreira
Matheus C. Santos
Julio C. Valencia-Guevara
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Periodic solutions for a 1D-model with nonlocal velocity via mass transport
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2016
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Lucas C. F. Ferreira
Julio C. Valencia-Guevara
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+
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Minimizing Movement for a Fractional Porous Medium Equation in a Periodic Setting
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2016
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Lucas C. F. Ferreira
Matheus Santos
Julio C. Valencia-Guevara
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+
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On a bilinear estimate in weak-Morrey spaces and uniqueness for Navier–Stokes equations
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2015
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Lucas C. F. Ferreira
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Existence and multiplicity of self-similar solutions for heat equations with nonlinear boundary conditions
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2015
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Lucas C. F. Ferreira
Marcelo F. Furtado
Everaldo S. Medeiros
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+
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Gradient flows of time-dependent functionals in metric spaces and applications for PDEs
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2015
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Lucas C. F. Ferreira
Julio C. Valencia-Guevara
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+
PDF
Chat
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Local well-posedness for 3D micropolar uid system in Besov-Morrey spaces
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2015
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Lucas C. F. Ferreira
Juliana C. Precioso
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Global existence for Schrödinger–Debye system for initial data with infinite 𝐿²-norm
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2015
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Adán J. Corcho
Lucas C. F. Ferreira
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PDF
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An approach without using Hardy inequality for the linear heat equation with singular potential
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2015
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Lucas C. F. Ferreira
Cláudia Aline A. S. Mesquita
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An elliptic system and the critical hyperbola
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2015
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Lucas C. F. Ferreira
Everaldo S. Medeiros
Marcelo Montenegro
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+
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Gradient flows of time-dependent functionals in metric spaces and applications for PDEs
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2015
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Lucas C. F. Ferreira
Julio C. Valencia-Guevara
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+
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Existence and stability of global large strong solutions for the Hall-MHD system
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2014
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Maicon J. Benvenutti
Lucas C. F. Ferreira
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+
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Periodic solutions for a 1D-model with nonlocal velocity via mass transport
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2014
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Lucas C. F. Ferreira
Julio C. Valencia-Guevara
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+
PDF
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ON A CLASS OF ELLIPTIC SYSTEM OF SCHRÖDINGER–POISSON TYPE
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2014
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Lucas C. F. Ferreira
Everaldo S. Medeiros
Marcelo Montenegro
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On the heat equation with nonlinearity and singular anisotropic potential on the boundary
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2014
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Marcelo F. de Almeida
Lucas C. F. Ferreira
Juliana C. Precioso
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On the heat equation in half-space with nonlinearity and singular anisotropic potential on the boundary
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2014
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Marcelo F. de Almeida
Lucas C. F. Ferreira
Juliana C. Precioso
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ON THE SCHRODINGER EQUATION WITH SINGULAR POTENTIALS
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2014
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Jaime Angulo Pava
Lucas C. F. Ferreira
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PDF
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Self-similar solutions for active scalar equations in Fourier–Besov–Morrey spaces
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2014
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Lucas C. F. Ferreira
Lidiane S. M. Lima
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PDF
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On the Schrӧdinger equation with singular potentials
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2014
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Lucas C. F. Ferreira
Jaime Angulo Pava
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+
PDF
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On existence and scattering theory for the Klein–Gordon–Schrödinger system in an infinite $$L^{2}$$ L 2 -norm setting
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2014
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Carlos Banquet
Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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On the heat equation with nonlinearity and singular anisotropic potential on the boundary
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2014
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Marcelo F. de Almeida
Lucas C. F. Ferreira
Juliana C. Precioso
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+
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Periodic solutions for a 1D-model with nonlocal velocity via mass transport
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2014
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Lucas C. F. Ferreira
Julio C. Valencia-Guevara
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+
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Existence and stability of global large strong solutions for the Hall-MHD system
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2014
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Maicon J. Benvenutti
Lucas C. F. Ferreira
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+
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Self-similar solutions for active scalar equations in Fourier-Besov-Morrey spaces
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2013
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Lucas C. F. Ferreira
Lidiane S. M. Lima
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+
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Existence and symmetry for elliptic equations in R^n with arbitrary growth in the gradient
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2013
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Lucas C. F. Ferreira
Marcelo Montenegro
Matheus C. Santos
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+
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An approach without using Hardy inequality for the linear heat equation with singular potential
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2013
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Lucas C. F. Ferreira
Cláudia Aline A. S. Mesquita
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+
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Global well-posedness and symmetries for dissipative active scalar equations with positive-order couplings
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2013
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Lucas C. F. Ferreira
Lidiane S. M. Lima
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+
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On the local solvability in Morrey spaces of the Navier–Stokes equations in a rotating frame
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2013
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Marcelo F. de Almeida
Lucas C. F. Ferreira
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Existence of solutions for the 3D-micropolar fluid system with initial data in Besov–Morrey spaces
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2013
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Lucas C. F. Ferreira
Juliana C. Precioso
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On nonlinear Schrödinger equations with random potentials: existence and probabilistic properties
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2013
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Leandro Cioletti
Lucas C. F. Ferreira
Marcelo F. Furtado
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+
PDF
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On the Nonhomogeneous Navier--Stokes System with Navier Friction Boundary Conditions
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2013
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Lucas C. F. Ferreira
Gabriela Planas
Élder J. Villamizar‐Roa
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+
PDF
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Strong solutions and inviscid limit for Boussinesq system with partial viscosity
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2013
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Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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+
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Existence and symmetries for elliptic equations with multipolar potentials and polyharmonic operators
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2013
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Lucas C. F. Ferreira
Cláudia Aline A. S. Mesquita
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+
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Existence and symmetry for elliptic equations in R^n with arbitrary growth in the gradient
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2013
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Lucas C. F. Ferreira
Marcelo Montenegro
Matheus C. Santos
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+
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On the Schrödinger equation with singular potentials
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2013
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Jaime Angulo Pava
Lucas C. F. Ferreira
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+
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Global well-posedness and symmetries for dissipative active scalar equations with positive-order couplings
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2013
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Lucas C. F. Ferreira
Lidiane S. M. Lima
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+
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An approach without using Hardy inequality for the linear heat equation with singular potential
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2013
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Lucas C. F. Ferreira
Cláudia Aline A. S. Mesquita
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+
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Self-similar solutions for active scalar equations in Fourier-Besov-Morrey spaces
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2013
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Lucas C. F. Ferreira
Lidiane S. M. Lima
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+
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On the Navier–Stokes equations in the half-space with initial and boundary rough data in Morrey spaces
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2012
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Marcelo F. de Almeida
Lucas C. F. Ferreira
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+
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On the Schrödinger–Boussinesq system with singular initial data
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2012
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Carlos Banquet
Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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+
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On the non-homogeneous Navier-Stokes system with Navier friction boundary conditions
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2012
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Lucas C. F. Ferreira
Gabriela Planas
Élder J. Villamizar‐Roa
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+
PDF
Chat
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Self-similarity, symmetries and asymptotic behavior in Morrey spaces for a fractional wave equation
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2012
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Lucas C. F. Ferreira
Marcelo F. de Almeida
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A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity
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2012
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José A. Carrillo
Lucas C. F. Ferreira
Juliana C. Precioso
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On the Laplace equation with a supercritical nonlinear Robin boundary condition in the half-space
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2012
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Lucas C. F. Ferreira
Everaldo S. Medeiros
Marcelo Montenegro
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+
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A Fourier approach for nonlinear equations with singular data
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2012
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Lucas C. F. Ferreira
Marcelo Montenegro
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+
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Uma abordagem via transformada de Fourier para as equações de Navier-Stokes : boa-colocação e comportamento assintótico
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2012
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Julio Cesar Valencia Guevara
Lucas C. F. Ferreira
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+
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A family of dissipative active scalar equations with singular velocity and measure initial data
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2012
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Lucas C. F. Ferreira
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+
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On the non-homogeneous Navier-Stokes system with Navier friction boundary conditions
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2012
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Lucas C. F. Ferreira
Gabriela Planas
Élder J. Villamizar‐Roa
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+
PDF
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On the wave operator for the generalized Boussinesq equation
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2011
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Luiz Gustavo Farah
Lucas C. F. Ferreira
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PDF
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A class of elliptic equations in anisotropic spaces
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2011
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Lucas C. F. Ferreira
Everaldo S. Medeiros
Marcelo Montenegro
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+
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Self-similarity and asymptotic stability for coupled nonlinear Schrödinger equations in high dimensions
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2011
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Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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+
PDF
Chat
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A semilinear heat equation with a localized nonlinear source and non-continuous initial data
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2011
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Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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+
PDF
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On the well posedness and large-time behavior for Boussinesq equations in Morrey spaces
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2011
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Lucas C. F. Ferreira
Marcelo F. de Almeida
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+
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Fractional Navier–Stokes equations and a Hölder-type inequality in a sum of singular spaces
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2011
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Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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+
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On the heat equation with concave-convex nonlinearity and initial data in weak-$L^p$ spaces
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2011
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Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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Existence and asymptotic behaviour for the parabolic–parabolic Keller–Segel system with singular data
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2011
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Lucas C. F. Ferreira
Juliana C. Precioso
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Exponentially-stable steady flow and asymptotic behavior for the magnetohydrodynamic equations
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2011
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Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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On the uniqueness for sub-critical quasi-geostrophic equations
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2011
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Lucas C. F. Ferreira
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A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity
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2011
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José A. Carrillo
Lucas C. F. Ferreira
Juliana C. Precioso
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Existence and asymptotic behavior for elliptic equations with singular anisotropic potentials
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2010
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Lucas C. F. Ferreira
Marcelo Montenegro
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Existence and scattering theory for Boussinesq type equations with singular data
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2010
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Lucas C. F. Ferreira
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A singular parabolic equation with logarithmic nonlinearity and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:math>-initial data
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2010
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Lucas C. F. Ferreira
Olivâine S. de Queiroz
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On the stability problem for the Boussinesq equations in weak-$L^p$ spaces
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2010
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Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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On the existence of solutions for the Navier-Stokes system in a sum of weak-$L^{p}$ spaces
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2010
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Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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Global existence for Schrodinger-Debye system for initial data with infinite mass
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2010
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Adán J. Corcho
Lucas C. F. Ferreira
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Self-similarity and uniqueness of solutions for semilinear reaction-diffusion systems
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2010
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Lucas C. F. Ferreira
Éder Mateus
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On the existence of infinite energy solutions for nonlinear Schrödinger equations
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2009
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Pablo Braz e Silva
Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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Existence of solutions to the convection problem in a pseudomeasure-type space
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2008
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Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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The asymptotic behaviour of subcritical dissipative quasi-geostrophic equations
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2008
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José A. Carrillo
Lucas C. F. Ferreira
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A nonlinear equation in Banach spaces and applications to the well-posedness of Cauchy problems
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2008
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Pablo Braz e Silva
Lucas C. F. Ferreira
Miguel Loayza
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Well-posedness and asymptotic behaviour for the Bousinessq system in Rn
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2007
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Élder J. Villamizar‐Roa
Lucas C. F. Ferreira
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Self-similar solutions and large time asymptotics for the dissipative quasi-geostrophic equation
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2007
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José A. Carrillo
Lucas C. F. Ferreira
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On the existence and stability of solutions for the micropolar fluids in exterior domains
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2007
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Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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On the existence of infinite energy solutions for nonlinear Schrodinger equations
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2007
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P. Braz e Silva
Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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Micropolar fluid system in a space of distributions and large time behavior
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2006
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Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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Well-posedness and asymptotic behaviour for the convection problem in
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2006
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Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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Self-similar solutions, uniqueness and long-time asymptotic behavior for semilinear heat equations
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2006
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Lucas C. F. Ferreira
Élder J. Villamizar‐Roa
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Convergence towards self-similar asymptotic behavior for the dissipative quasi-geostrophic equations
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2006
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José A. Carrillo
Lucas C. F. Ferreira
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Soluções auto-similares para a equação quase-geostrofica e comportamento assintotico
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2005
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Lucas C. F. Ferreira
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Inexistencia de blow-up hiperbolico simples para a equação quasi-geostrofica
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2002
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Lucas C. F. Ferreira
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