Global existence of weak solutions to dissipative transport equations with nonlocal velocity

Hantaek Bae, Rafael Granero-Belinchón, Omar Lazar

Type: Article

Publication Date: 2018-03-06

Citations: 11

DOI: https://doi.org/10.1088/1361-6544/aaa2e0

View Publication

Locations

Nonlinearity - View
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	On the local and global existence of solutions to 1d transport equations with nonlocal velocity	2019	Hantaek Bae Rafael Granero-Belinchón Omar Lazar
+	Global Existence of weak solutions for some transport equations with nonlocal velocity fields	2015	Hantaek Bae Rafael Granero-Belinchón
+	On the local and global existence of solutions to 1D transport equations with nonlocal velocity	2018	Hantaek Bae Rafael Granero-Belinchón Omar Lazar
+	Global existence for some transport equations with nonlocal velocity	2014	Hantaek Bae Rafael Granero-Belinchón
+	Global existence for some transport equations with nonlocal velocity	2014	Hantaek Bae Rafael Granero-Belinchón
+	Nonlocal solutions of V-dissipative differential equations	1984	Владимир Григорьевич Задорожний
+ PDF Chat	Infinite energy solutions for a 1D transport equation with nonlocal velocity	2016	Omar Lazar Pierre Gilles Lemarié–Rieusset
+	On a 1D nonlocal transport equation with nonlocal velocity and subcritical or supercritical diffusion	2016	Omar Lazar
+	On a 1D nonlocal transport equation with nonlocal velocity and subcritical or supercritical diffusion	2016	Omar Lazar
+ PDF Chat	On a 1D nonlocal transport equation with nonlocal velocity and subcritical or supercritical diffusion	2016	Omar Lazar
+ PDF Chat	Study of weak infinite energy solutions for a non local transport equation	2013	Omar Lazar
+	Global wellposedness for a transport equation with super-critial dissipation	2010	Xumin Gu
+ PDF Chat	On a multi-dimensional transport equation with nonlocal velocity and fractional dissipation	2024	Wanwan Zhang
+	Nonlinear wave equation with weak dissipative term in domains with non-locally reacting boundary	2012	André Vicente C.L. Frota
+	Global existence for the nonhomogeneous quasilinear wave equation with a localized weakly nonlinear dissipation in exterior domains	2009	Bae Jeong Ja
+	GLOBAL EXISTENCE FOR THE NONHOMOGENEOUS QUASILINEAR WAVE EQUATION WITH A LOCALIZED WEAKLY NONLINEAR DISSIPATION IN EXTERIOR DOMAINS	2009	H.T. Jeong Já Bae Bae
+	Local properties for weak solutions of nonlocal heat equations	2019	Yong‐Cheol Kim
+	EXISTENCE AND DYNAMICS FOR A NONLOCAL FLUX PROBLEM	2005	Hi Z
+	Global well-posedness of the transport equation with nonlocal velocity in Besov spaces with critical and supercritical dissipation	2011	Kazuo Yamazaki
+	Traveling Waves for Partial Differential Equation Systems With Local and Nonlocal Diffusions and Application	2015	Xiaojie Hou Yi Li Qiuling Huang

Works That Cite This (10)

Action	Title	Year	Authors
+	Global smoothness for a 1D supercritical transport model with nonlocal velocity	2020	Lucas C. F. Ferreira Valter V. C. Moitinho
+	Singularity formation for the fractional Euler-alignment system in 1D	2020	Víctor Arnaiz Ángel Castro
+	Global well-posedness, regularity and blow-up for the β-CCF model	2022	Lucas C. F. Ferreira Valter V. C. Moitinho
+	Global existence and spatial analyticity for a nonlocal flux with fractional diffusion	2020	Yu Gao Cong Wang Xiaoping Xue
+ PDF Chat	On the local and global existence of solutions to 1d transport equations with nonlocal velocity	2019	Hantaek Bae Rafael Granero-Belinchón Omar Lazar
+	Global existence and spatial analyticity for a nonlocal flux with fractional diffusion	2023	Yu Gao Cong Wang Xiaoping Xue
+	On the global well-posedness of one-dimensional fluid models with nonlocal velocity	2020	Zhuan Ye
+	Singularity formation for the fractional Euler-Alignment system in 1D	2019	Víctor Arnaiz Ángel Castro
+	Global existence and decay to equilibrium for some crystal surface models	2018	Rafael Granero-Belinchón Martina Magliocca
+	On the local and global existence of solutions to 1D transport equations with nonlocal velocity	2018	Hantaek Bae Rafael Granero-Belinchón Omar Lazar

Works Cited by This (30)

Action	Title	Year	Authors
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+ PDF Chat	SOME SIMILARITY SOLUTIONS OF THE NAVIER-STOKES EQUATIONS AND RELATED TOPICS	2000	Hisashi Okamoto J.Z. Zhu
+ PDF Chat	Weighted norm inequalities for the Hardy maximal function	1972	Benjamin Muckenhoupt
+	Well-posedness for a transport equation with nonlocal velocity	2008	Hongjie Dong
+	A Maximum Principle Applied to Quasi-Geostrophic Equations	2004	Antonio Cordóba Diego Córdoba
+	Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation	2007	Dong Li José L. Rodrigo
+	Global existence, singularities and ill-posedness for a nonlocal flux	2008	Ángel Castro Diego Córdoba
+	Global existence for some transport equations with nonlocal velocity	2014	Hantaek Bae Rafael Granero-Belinchón
+	On a One-Dimensional Nonlocal Flux with Fractional Dissipation	2011	Dong Li José L. Rodrigo
+	A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity	2012	José A. Carrillo Lucas C. F. Ferreira Juliana C. Precioso