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Existence of Solutions for a Class of One-Dimensional Models of Pedestrian Evacuations
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2024
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Boris Andreïanov
Théo Girard
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On existence, stability and many-particle approximation of solutions of 1D Hughes' model with linear costs
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2023
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Boris Andreïanov
Massimiliano D. Rosini
Graziano Stivaletta
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Nodal discrete duality numerical scheme for nonlinear diffusion problems on general meshes
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2023
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Boris Andreïanov
El Houssaine Quenjel
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Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions
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2023
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Boris Andreïanov
Abraham Sylla
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Existence of solutions to a class of one-dimensional models for pedestrian evacuations
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2023
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Boris Andreïanov
Théo Girard
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The Mathematical Theory of Hughes’ Model: A Survey of Results
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2023
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Debora Amadori
Boris Andreïanov
Marco Di Francesco
Simone Fagioli
Théo Girard
Paola Goatin
Peter A. Markowich
J. -F. Pietschmann
Massimiliano D. Rosini
Giovanni Russo
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On Numerical Approximation of Diffusion Problems Governed by Variable-Exponent Nonlinear Elliptic Operators
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2022
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Boris Andreïanov
El Houssaine Quenjel
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Lack of controllability of the viscous Burgers equation: part I—the $$\mathrm{L}^\infty $$ setting
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2022
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Boris Andreïanov
Shyam Sundar Ghoshal
Konstantinos Koumatos
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Lack of controllability of the viscous Burgers equation.Part I: The L^∞ setting.
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2022
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Boris Andreïanov
Shyam Sundar Ghoshal
Konstantinos Koumatos
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Lack of controllability of the viscous Burgers equation. Part II: The L^2 setting, with a detour into the well-posedness of unbounded entropy solutions to scalar conservation laws
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2022
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Boris Andreïanov
Shyam Sundar Ghoshal
Konstantinos Koumatos
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Non-controllability of the viscous Burgers equation and a detour into the well-posedness of unbounded entropy solutions to scalar conservation laws
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2022
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Boris Andreïanov
Shyam Sundar Ghoshal
Konstantinos Koumatos
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On existence, stability and many-particle approximation of solutions of 1D Hughes model with linear costs
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2021
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Boris Andreïanov
Massimiliano D. Rosini
Graziano Stivaletta
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Nonlocal dissipation measure and <i>L</i><sup>1</sup> kinetic theory for fractional conservation laws
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2020
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Nathaël Alibaud
Boris Andreïanov
Adama Ouédraogo
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On classes of well-posedness for quasilinear diffusion equations in the whole space
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2020
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Boris Andreïanov
Mohamed Maliki
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NONLOCAL DISSIPATION MEASURE AND L 1 KINETIC THEORY FOR FRACTIONAL CONSERVATION LAWS
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2019
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Nathaël Alibaud
Boris Andreïanov
Adama Ouédraogo
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Uniqueness of entropy solutions to fractional conservation laws with “fully infinite” speed of propagation
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2019
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Boris Andreïanov
Matthieu Brassart
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Nonlocal Dissipation Measure and L 1 Kinetic Theory For Fractional Conservation Laws
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2019
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Nathaël Alibaud
Boris Andreïanov
Adama Ouedraogo
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A nonlinear time compactness result and applications to discretization of degenerate parabolic–elliptic PDEs
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2017
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Boris Andreïanov
Clément Cancès
Ayman Moussa
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Erratum to: Semigroups of max-plus linear operators
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2017
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Boris Andreïanov
Marjeta Kramar Fijavž
Aljoša Peperko
Eszter Sikolya
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Well-posedness for vanishing viscosity solutions of scalar conservation laws on a network
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2017
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Boris Andreïanov
Giuseppe Maria Coclite
Carlotta Donadello
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On the Attainable Set for a Scalar Nonconvex Conservation Law
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2017
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Boris Andreïanov
Carlotta Donadello
Andrea Marson
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Explicit formulation for the Dirichlet problem for parabolic-hyperbolic conservation laws
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2016
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Boris Andreïanov
Mohamed Karimou Gazibo
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Well-posedness for a monotone solver for traffic junctions
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2016
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Boris Andreïanov
Guiseppe Maria Coclite
Carlotta Donadello
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Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks
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2015
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Boris Andreïanov
Carlotta Donadello
Ulrich Razafison
Massimiliano D. Rosini
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On interface transmission conditions for conservation laws with discontinuous flux of general shape
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2015
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Boris Andreïanov
Clément Cancès
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A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs
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2015
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Boris Andreïanov
Clément Cancès
Ayman Moussa
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New approaches to describing admissibility of solutions of scalar conservation laws with discontinuous flux
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2015
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Boris Andreïanov
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Well-posedness of general boundary-value problems for scalar conservation laws
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2015
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Boris Andreïanov
Karima Sbihi
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On the attainable set for a class of triangular systems of conservation laws
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2015
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Boris Andreïanov
Carlotta Donadello
Shyam Sundar Ghoshal
Ulrich Razafison
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Riemann problems with non--local point constraints and capacity drop
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2015
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Boris Andreïanov
Carlotta Donadello
Ulrich Razafison
Massimiliano D. Rosini
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A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs
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2015
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Boris Andreïanov
Clément Cancès
Ayman Moussa
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Entropy conditions for scalar conservation laws with discontinuous flux revisited
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2014
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Darko Mitrović
Boris Andreïanov
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Crowd dynamics and conservation laws with nonlocal constraints and capacity drop
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2014
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Boris Andreïanov
Carlotta Donadello
Massimiliano D. Rosini
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Riemann problems with non--local point constraints and capacity drop
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2014
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Boris Andreïanov
Carlotta Donadello
Ulrich Razafison
Massimiliano D. Rosini
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Convergence of finite volume scheme for degenerate parabolic problem with zero flux boundary condition
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2014
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Boris Andreïanov
Mohamed Karimou Gazibo
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Well-Posedness for a One-Dimensional Fluid-Particle Interaction Model
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2014
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Boris Andreïanov
Fré́dé́ric Lagoutière
Nicolas Seguin
Takéo Takahashi
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Convergence of Finite Volume Scheme for Degenerate Parabolic Problem with Zero Flux Boundary Condition
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2014
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Boris Andreïanov
Mohamed Karimou Gazibo
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Convergence of finite volume scheme for degenerate parabolic problem with zero flux boundary condition
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2014
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Boris Andreïanov
Mohamed Karimou Gazibo
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Riemann problems with non--local point constraints and capacity drop
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2014
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Boris Andreïanov
Carlotta Donadello
Ulrich Razafison
Massimiliano D. Rosini
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On 3D DDFV Discretization of Gradient and Divergence Operators: Discrete Functional Analysis Tools and Applications to Degenerate Parabolic Problems
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2013
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Boris Andreïanov
Mostafa Bendahmane
Florence Hubert
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Solutions processus intégrales des équations d'évolution abstraites et application à l'approximation numérique d'un problème parabolique dégénéré. [ Integral-process solutions of abstract evolution equations and application to numerical approximation of a degenerate parabolic boundary-value problem. ]
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2013
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Boris Andreïanov
Mohamed Karimou Gazibo
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The Semigroup Approach to Conservation Laws with Discontinuous Flux
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2013
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Boris Andreïanov
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Crowd dynamics and conservation laws with non-local constraints
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2013
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Boris Andreïanov
Carlotta Donadello
Massimiliano D. Rosini
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Approximating the vanishing capillarity limit of two‐phase flow in multi‐dimensional heterogeneous porous medium
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2013
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Boris Andreïanov
Konstantin Brenner
Clément Cancès
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Vanishing capillarity solutions of Buckley–Leverett equation with gravity in two-rocks’ medium
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2013
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Boris Andreïanov
Clément Cancès
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Entropy formulation of degenerate parabolic equation with zero-flux boundary condition
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2013
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Boris Andreïanov
Mohamed Karimou Gazibo
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Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium
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2013
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Boris Andreïanov
Clément Cancès
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Crowd dynamics and conservation laws with non-local constraints
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2013
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Boris Andreïanov
Carlotta Donadello
Massimiliano D. Rosini
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Dissipative Coupling of Scalar Conservation Laws across an Interface: Theory and Applications
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2012
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Boris Andreïanov
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One-dimensional conservation law with boundary conditions: general results and spatially inhomogeneous case
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2012
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Boris Andreïanov
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Preconditioning operators and $L^\infty$ attractor for a class of reaction-diffusion systems
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2012
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Boris Andreïanov
Halima Labani
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Finite volume approximation of degenerate two‐phase flow model with unlimited air mobility
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2012
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Boris Andreïanov
Robert Eymard
Mustapha Ghilani
Nouzha Marhraoui
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The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions
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2012
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Boris Andreïanov
Clément Cancès
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Entropy conditions for scalar conservation laws with discontinuous flux revisited
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2012
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Boris Andreïanov
Darko Mitrović
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On uniqueness techniques for degenerate convection-diffusion problems
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2012
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Boris Andreïanov
Noureddine Igbida
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Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes
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2012
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Boris Andreïanov
Nicolas Seguin
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Conservation laws with discontinuous flux
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2012
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Boris Andreïanov
Clément Cancès
Paola Goatin
F. Lagoutière
Nicolas Seguin
Tomohiro Takahashi
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Entropy conditions for scalar conservation laws with discontinuous flux revisited
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2012
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Boris Andreïanov
Darko Mitrović
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Convergence of approximate solutions to an elliptic–parabolic equation without the structure condition
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2011
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Boris Andreïanov
Petra Wittbold
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Finite volume methods for degenerate chemotaxis model
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2011
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Boris Andreïanov
Mostafa Bendahmane
Mazen Saad
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A Theory of L 1-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux
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2011
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Boris Andreïanov
Kenneth H. Karlsen
Nils Henrik Risebro
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Well-posedness of a singular balance law
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2011
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Boris Andreïanov
Nicolas Seguin
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Convergence of discrete duality finite volume schemes for the cardiac bidomain model
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2011
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Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
Charles Pierre
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Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes
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2011
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Boris Andreïanov
Florence Hubert
Stella Krell
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ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS
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2010
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Boris Andreïanov
Mostafa Bendahmane
Ricardo Ruiz–Baier
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On Intrinsic Formulation and Well-posedness of a Singular Limit of Two-phase Flow Equations in Porous Media
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2010
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Boris Andreïanov
Robert Eymard
Mustapha Ghilani
Nouzha Marhraoui
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Renormalized solutions of the fractional Laplace equation
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2010
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Nathaël Alibaud
Boris Andreïanov
Mostafa Bendahmane
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Dissipative interface coupling of conservation laws
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2010
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Boris Andreïanov
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Structural stability for variable exponent elliptic problems, I: The -Laplacian kind problems
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2010
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Boris Andreïanov
Mostafa Bendahmane
Stanislas Ouaro
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Structural stability for variable exponent elliptic problems, II: The -Laplacian and coupled problems
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2010
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Boris Andreïanov
Mostafa Bendahmane
Stanislas Ouaro
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DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS
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2010
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Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
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Non-uniqueness of weak solutions for the fractal Burgers equation
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2010
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Nathaël Alibaud
Boris Andreïanov
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Finite volume schemes for locally constrained conservation laws
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2010
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Boris Andreïanov
Paola Goatin
Nicolas Seguin
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Small solids in an inviscid fluid
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2010
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Boris Andreïanov
Fré́dé́ric Lagoutière
Nicolas Seguin
Takéo Takahashi
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On vanishing viscosity approximation of conservation laws with discontinuous flux
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2010
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Boris Andreïanov
Kenneth H. Karlsen
Nils Henrik Risebro
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Convergence of discrete duality finite volume schemes for the cardiac bidomain model
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2010
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Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
Charles Pierre
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A note on uniqueness of entropy solutions to degenerate parabolic equations in $${\mathbb{R}^N}$$
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2009
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Boris Andreïanov
Mohamed Maliki
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Well-posedness results for triply nonlinear degenerate parabolic equations
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2009
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Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
Stanislas Ouaro
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Structural stability for nonlinear elliptic problems of the $p(x)-$ and $p(u)$-laplacian kind
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2009
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Boris Andreïanov
Mostafa Bendahmane
Stanislas Ouaro
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Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations
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2009
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Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
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Well-posedness results for triply nonlinear degenerate parabolic equations
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2008
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Boris Andreïanov
Mostafa Bendahmane
Kenneth K. Karlsen
Stanislas Ouaro
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On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption
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2008
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Boris Andreïanov
Karima Sbihi
Petra Wittbold
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A gradient reconstruction formula for nite volume schemes and discrete duality
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2008
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Mostafa Bendahmane
Boris Andreïanov
Kenneth H. Karlsen
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Strong Boundary Traces and Well-Posedness for Scalar Conservation Laws with Dissipative Boundary Conditions
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2008
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Boris Andreïanov
Karima Sbihi
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Uniqueness for inhomogeneous Dirichlet problem for elliptic–parabolic equations
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2007
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Boris Andreïanov
Noureddine Igbida
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Scalar conservation laws with nonlinear boundary conditions
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2007
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Boris Andreïanov
Karima Sbihi
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Discrete Besov framework for finite volume approximation of the p-laplacian on non-uniform cartesian grids
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2007
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Boris Andreïanov
Franck Boyer
Florence Hubert
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Discrete duality finite volume schemes for Leray−Lions−type elliptic problems on general 2D meshes
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2006
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Boris Andreïanov
Franck Boyer
Florence Hubert
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Discrete Besov framework for finite volume approximation of the $p$-Laplacian on non-uniform Cartesian grids
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2006
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Boris Andreïanov
Franck Boyer
Florence Hubert
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On the finite-volume approximation of regular solutions of the p-Laplacian
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2005
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Boris Andreïanov
Franck Boyer
Florence Hubert
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Revising uniqueness for a nonlinear diffusion–convection equation
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2005
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Boris Andreïanov
Noureddine Igbida
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Besov regularity and new error estimates for finite volume approximations of the p-laplacian
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2005
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Boris Andreïanov
Franck Boyer
Florence Hubert
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Uniqueness for an elliptic-parabolic problem with Neumann boundary condition
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2004
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Boris Andreïanov
Fouzia Bouhsiss
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On viscous limit solutions of the Riemann problem for the equations of isentropic gas dynamics in Eulerian coordinates
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2003
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Boris Andreïanov
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"Convergence of Finite Volume Approximations for a Nonlinear Elliptic-Parabolic Problem: a ""Continuous"" Approach."
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2003
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Boris Andreïanov
Michaël Gutnic
Petra Wittbold
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О пределах решений задачи Римана для системы изэнтропической газовой динамики с вязкостью в эйлеровых координатах
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2003
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Boris Andreïanov
Boris Andreïanov
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L'approche «continue » pour une méthode de volumes finis
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2001
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Boris Andreïanov
Michaël Gutnic
Petra Wittbold
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L1-Theory of Scalar Conservation Law with Continuous Flux Function
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2000
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Boris Andreïanov
Philippe Benilán
S. N. Kruzhkov
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Quelques problemes de la theorie des systemes paraboliques degeneres non-lineaires et des lois de conservation
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2000
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Boris Andreïanov
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The Riemann problem for $p$-systems with continuous flux function
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1999
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Boris Andreïanov
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