Boris Andreianov

Documents

Identifiants chercheurs

boris-andreianov
ResearcherId : AAR-3592-2020
0000-0002-9314-2360
Google Scholar : https://scholar.google.fr/citations?user=zmjv6zMAAAAJ&hl=en
IdRef : 169625656

Présentation

Publications

	Lack of controllability of the viscous Burgers equation.Part I: The L^∞ setting. Boris Andreianov , Shyam Sundar Ghoshal , Konstantinos Koumatos Journal of Evolution Equations, inPress Article dans une revue hal-02497181v3
	A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs Boris Andreianov , Clément Cancès , Ayman Moussa Journal of Functional Analysis, 2017, 273 (12), pp.3633-3670. ⟨10.1016/j.jfa.2017.08.010⟩ Article dans une revue hal-01142499v1
	Solvability analysis and numerical approximation of linearized cardiac electromechanics Boris Andreianov , Mostafa Bendahmane , Alfio Quarteroni , Ricardo Ruiz-Baier Mathematical Models and Methods in Applied Sciences, 2015, ⟨10.1142/S0218202515500244⟩ Article dans une revue hal-01256811v1
	Well-posedness of general boundary-value problems for scalar conservation laws Boris Andreianov , Karima Sbihi Transactions AMS, 2015, 367 (6), pp. 3763-3806. ⟨10.1090/S0002-9947-2015-05988-1⟩ Article dans une revue hal-00708973v3
	Entropy conditions for scalar conservation laws with discontinuous flux revisited Boris Andreianov , Darko Mitrović Ann. IHP Analyse Nonlinéaire, 2015, ⟨10.1016/j.anihpc.2014.08.002⟩ Article dans une revue hal-00978482v2
	Solvability analysis and numerical approximation of linearized cardiac electromechanics Boris Andreianov , Mostafa Bendahmane , Alfio Quarteroni , Ricardo Ruiz Baier Mathematical Models and Methods in Applied Sciences, 2015, 25, pp.959-993. ⟨10.1142/S0218202515500244⟩ Article dans une revue hal-00865585v3
	On the attainable set for a class of triangular systems of conservation laws Boris Andreianov , Carlotta Donadello , Shyam Sundar Ghoshal , Ulrich Razafison Journal of Evolution Equations, 2015, 15 (3), pp. 503-532. ⟨10.1007/s00028-014-0267-x⟩ Article dans une revue hal-00967600v1
	On interface transmission conditions for conservation laws with discontinuous flux of general shape Boris Andreianov , Clément Cancès Journal of Hyperbolic Differential Equations, 2015, 12 (2), pp.343-384. ⟨10.1142/S0219891615500101⟩ Article dans une revue hal-00940756v2
	A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rocks media Boris Andreianov , Clément Cancès Computational Geosciences, 2014, 18 (2), pp.211-226 Article dans une revue hal-00833522v1
	Crowd dynamics and conservation laws with non-local constraints and capacity drop Boris Andreianov , Carlotta Donadello , Massimiliano D. Rosini Mathematical Models and Methods in Applied Sciences, 2014, 24 (13), pp. 2685-2722. ⟨10.1142/S0218202514500341⟩ Article dans une revue hal-00816449v2
	Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium Boris Andreianov , Konstantin Brenner , Clément Cancès Journal of Applied Mathematics and Mechanics, 2014, 94 (7-8), pp.651-667 Article dans une revue hal-00744359v1
	Well-posedness for a one-dimensional fluid-particle interaction model Boris Andreianov , Frédéric Lagoutière , Nicolas Seguin , Takéo Takahashi SIAM Journal on Mathematical Analysis, 2014, 46 (2) Article dans une revue hal-00789315v1
	Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium Boris Andreianov , Clément Cancès Computational Geosciences, 2013, 17 (3), pp.551-572 Article dans une revue hal-00631584v2
	Entropy formulation of degenerate parabolic equation with zero-flux boundary condition Boris Andreianov , Mohamed Karimou Gazibo Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2013, 164 (5), pp. 1471-1491. ⟨10.1007/s00033-012-0297-6⟩ Article dans une revue hal-00697593v2
	On 3D DDFV discretization of gradient and divergence operators. II. Discrete functional analysis tools and applications to degenerate parabolic problems. Boris Andreianov , Mostafa Bendahmane , Florence Hubert Computational Methods in Applied Mathematics, 2013, 13 (4), pp. 369-410. ⟨10.1515/cmam-2013-0011⟩ Article dans une revue hal-00567342v3
	Preconditioning operators and $L^\infty$ attractor for a class of reaction-diffusion systems Boris Andreianov , Halima Labani Communications on Pure and Applied Analysis, 2012, 11 (6), pp. 2179-2199. ⟨10.3934/cpaa.2012.11.2179⟩ Article dans une revue hal-00522783v1
	On uniqueness techniques for degenerate convection-diffusion problems Boris Andreianov , Noureddine Igbida International journal of dynamical systems and differential equations, 2012, 4 (1/2), pp. 3-34. ⟨10.1504/IJDSDE.2012.045992⟩ Article dans une revue hal-00553819v1
	Convergence of approximate solutions to an elliptic-parabolic equation without the structure condition Boris Andreianov , Petra Wittbold Nonlinear Differential Equations and Applications, 2012, 19 (6), pp. 695-717. ⟨10.1007/s00030-011-0148-8⟩ Article dans une revue hal-00608521v1
	Finite volume approximation of degenerate two-phase flow model with unlimited air mobility Boris Andreianov , Robert Eymard , Mustapha Ghilani , Nouzha Marhraoui Numerical Methods for Partial Differential Equations, 2012, 29 (2), pp. 441-474. ⟨10.1002/num.21715⟩ Article dans une revue hal-00606955v1
	Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes [Well-posedness of a singular balance law] Boris Andreianov , Nicolas Seguin DCDS-A, 2012, 32 (6), pp. 1939-1964. ⟨10.3934/dcds.2012.32.1939⟩ Article dans une revue hal-00576959v1
	The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions Boris Andreianov , Clément Cancès Applied Mathematics Letters, 2012, 25, pp.1844--1848 Article dans une revue hal-00631586v2
	On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality. Boris Andreianov , Mostafa Bendahmane , Florence Hubert , Stella Krell IMA Journal of Numerical Analysis, 2012, 32 (4), pp.1574-1603. ⟨10.1093/imanum/drr046⟩ Article dans une revue hal-00355212v3
	Finite volume methods for degenerate chemotaxis model Boris Andreianov , Mostafa Bendahmane , Mazen Saad Journal of Computational and Applied Mathematics, 2011, 235 (14), pp.4015 - 4031. ⟨10.1016/j.cam.2011.02.023⟩ Article dans une revue hal-01737856v1
	A theory of L^1-dissipative solvers for scalar conservation laws with discontinuous flux Boris Andreianov , Kenneth Hvistendahl Karlsen , Nils Henrik Risebro Archive for Rational Mechanics and Analysis, 2011, 201 (1), pp.27-86. ⟨10.1007/s00205-010-0389-4⟩ Article dans une revue hal-00475840v1
	Convergence of discrete duality finite volume schemes for the cardiac bidomain model Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen , Charles Pierre Networks and Heterogeneous Media, 2011, In Press, pp.1-45 Article dans une revue hal-00526047v2
	Analysis of a finite volume method for a cross-diffusion model in population dynamics Boris Andreianov , Mostafa Bendahmane , Ricardo Ruiz Baier Mathematical Models and Methods in Applied Sciences, 2011, 21 (02), pp.307-344. ⟨10.1142/S0218202511005064⟩ Article dans une revue hal-00458737v2
	Non-uniqueness of weak solutions for the fractal Burgers equation Nathael Alibaud , Boris Andreïanov Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2010, 27 (4), pp. 997-016. ⟨10.1016/j.anihpc.2010.01.008⟩ Article dans une revue hal-00405892v3
	Structural stability for variable exponent elliptic problems. I. The $p(x)$-laplacian kind problems. Boris Andreianov , Mostafa Bendahmane , Stanislas Ouaro Nonlinear Analysis: Theory, Methods and Applications, 2010, 73 (1), pp.2-24. ⟨10.1016/j.na.2010.02.039⟩ Article dans une revue hal-00363284v3
	A note on uniqueness of entropy solutions to degenerate parabolic equations in $\mathbb{R}^N$. Boris Andreianov , Mohamed Maliki Nonlinear Differential Equations and Applications, 2010, 17 (1), pp. 109-118. ⟨10.1007/s00030-009-0042-9⟩ Article dans une revue hal-00378475v2
	Renormalized solutions of the fractional Laplace equation Nathael Alibaud , Boris Andreianov , Mostafa Bendahmane Comptes Rendus. Mathématique, 2010, 348, pp. 759-762. ⟨10.1016/j.crma.2010.05.006⟩ Article dans une revue hal-01208279v1
	On vanishing viscosity approximation of conservation laws with discontinuous flux. Boris Andreianov , Kenneth Hvistendahl Karlsen , Nils Henrik Risebro Networks and Heterogeneous Media, 2010, 5 (3), pp.617-633. ⟨10.3934/nhm.2010.5.617⟩ Article dans une revue hal-00438203v1
	Finite volume schemes for constrained conservation laws Paola Goatin , Nicolas Seguin , Boris Andreianov Numerische Mathematik, 2010, 115 (4), pp.609-645 Article dans une revue inria-00534872v1
	Small solids in an inviscid fluid Boris Andreianov , Frédéric Lagoutière , Nicolas Seguin , Takéo Takahashi Networks and Heterogeneous Media, 2010, 5 (3), pp.385-404. ⟨10.3934/nhm.2010.5.385⟩ Article dans une revue hal-00590617v1
	Finite volume schemes for locally constrained conservation laws Boris Andreianov , Paola Goatin , Nicolas Seguin Numerische Mathematik, 2010, 115 (4), pp. 609-645. ⟨10.1007/s00211-009-0286-7⟩ Article dans une revue hal-00387806v1
	Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen Journal of Hyperbolic Differential Equations, 2010, 7 (1), pp.1--67. ⟨10.1142/S0219891610002062⟩ Article dans une revue hal-00475752v1
	Structural stability for variable exponent elliptic problems. II. The $p(u)$-laplacian and coupled problems. Boris Andreianov , Mostafa Bendahmane , Stanislas Ouaro Nonlinear Analysis: Theory, Methods and Applications, 2010, 72 (12), pp. 4649-4660. ⟨10.1016/j.na.2010.02.044⟩ Article dans une revue hal-00402869v1
	Well-posedness results for triply nonlinear degenerate parabolic equations. Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen , Stanislas Ouaro Journal of Differential Equations, 2009, 247 (1), pp.277-302. ⟨10.1016/j.jde.2009.03.001⟩ Article dans une revue hal-00475758v1
	On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption. Boris Andreianov , Karima Sbihi , Petra Wittbold Journal of Evolution Equations, 2008, 8 (3), pp.449--490. ⟨10.1007/s00028-008-0365-8⟩ Article dans une revue hal-00475748v1
	Discrete duality finite volume schemes for Leray-Lions type elliptic problems on general 2D meshes Boris Andreianov , Franck Boyer , Florence Hubert Numerical Methods for Partial Differential Equations, 2007, 23, pp 145-195. ⟨10.1002/num.20170⟩ Article dans une revue hal-00005779v2
	Uniqueness for inhomogeneous Dirichlet problem for elliptic-parabolic equations Boris Andreianov , Noureddine Igbida Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2007, 136 (6), pp.1119-1133. ⟨10.1017/S0308210505001290⟩ Article dans une revue hal-00475857v1
	Scalar conservation laws with nonlinear boundary conditions Boris Andreianov , Karima Sbihi Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 345 (8), pp.431-434. ⟨10.1016/j.crma.2007.09.008⟩ Article dans une revue hal-00475852v1
	On the finite-volume approximation of regular solutions of the $p$-Laplacian Boris Andreianov , Franck Boyer , Florence Hubert IMA Journal of Numerical Analysis, 2006, 26 (3), pp. 472-502. ⟨10.1093/imanum/dri047⟩ Article dans une revue hal-00475905v1
	Revising uniqueness for a nonlinear diffusion-convection equation Boris Andreianov , Noureddine Igbida Journal of Differential Equations, 2006, 227 (1), pp.69-79. ⟨10.1016/j.jde.2005.09.003⟩ Article dans une revue hal-00475860v1
	Besov regularity and new error estimates for finite volume approximations of the p-laplacian Boris Andreianov , Franck Boyer , Florence Hubert Numerische Mathematik, 2005, 100 no 4, p. 565-592. ⟨10.1007/s00211-005-0591-8⟩ Article dans une revue hal-00004419v1
	Finite volume schemes for the p-laplacian on cartesian meshes Boris Andreianov , Franck Boyer , Florence Hubert ESAIM: Mathematical Modelling and Numerical Analysis, 2004, 38 no 6, pp 931-959. ⟨10.1051/m2an:2004045⟩ Article dans une revue hal-00004088v1
	"Convergence of Finite Volume Approximations for a Nonlinear Elliptic-Parabolic Problem: a ""Continuous"" Approach." Boris Andreianov , Michaël Gutnic , Petra Wittbold SIAM Journal on Numerical Analysis, 2003, 42 (1), pp.228-251 Article dans une revue hal-00129680v1

	Convergence of finite volume scheme for degenerate parabolic problem with zero flux boundary condition Boris Andreïanov , Mohamed Karimou Gazibo Finite Volumes for Complex Applications VII, Jun 2014, Berlin, Germany. pp. 303-311, ⟨10.1007/978-3-319-05684-5_29⟩ Communication dans un congrès hal-00950142v2
	NEW APPROACHES TO DESCRIBING ADMISSIBILITY OF SOLUTIONS OF SCALAR CONSERVATION LAWS WITH DISCONTINUOUS FLUX Boris Andreianov CANUM 2014, Mar 2014, Carry-le-Rouet, France. pp.40-65, ⟨10.1051/proc/201550003⟩ Communication dans un congrès hal-01109040v1
	Riemann problems with non--local point constraints and capacity drop Boris Andreianov , Carlotta Donadello , Ulrich Razafison , Massimiliano D. Rosini Modeling with Measures, Aug 2013, Leiden, Netherlands. pp. 259-278, ⟨10.3934/mbe.2015.12.259⟩ Communication dans un congrès hal-00959974v1
	One-dimensional conservation law with boundary conditions: general results and spatially inhomogeneous case Boris Andreianov HYP2012 conference in Padova, Jun 2012, Padua, Italy. pp. 259-267 Communication dans un congrès hal-00761664v2
	Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes Boris Andreianov , Florence Hubert , Stella Krell Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. pp.937-948, ⟨10.1007/978-3-642-20671-9_91⟩ Communication dans un congrès hal-00572732v1
	Time compactness tools for discretized evolution equations and applications to degenerate parabolic PDEs Boris Andreianov Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. pp. 21-29, ⟨10.1007/978-3-642-20671-9_3⟩ Communication dans un congrès hal-00561344v2
	On Intrinsic Formulation and Well-posedness of a Singular Limit of Two-phase Flow Equations in Porous Media Boris Andreianov , Robert Eymard , Mustapha Ghilani , Nouzha Marhraoui Eleventh International Conference Zaragoza–Pau on Applied Mathematics and Statistics, Sep 2010, Jaca, Spain. pp. 21-34 Communication dans un congrès hal-00606948v2
	Dissipative interface coupling of conservation laws Boris Andreianov HYP2010 conference in Beijing, Jun 2010, Beijing, China. pp.123-135 Communication dans un congrès hal-00761662v1
	A gradient reconstruction formula for nite volume schemes and discrete duality Mostafa Bendahmane , Boris Andreianov , Kenneth H. Karlsen Finite volumes for complex applications, 2008, France. pp.161-168 Communication dans un congrès hal-01015913v1
	A gradient reconstruction formula for finite volume schemes and discrete duality Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen Finite volumes for complex applications V, Jun 2008, Aussois, France. pp. 161-168 Communication dans un congrès hal-00475877v1
	Strong boundary traces and well-posedness for scalar conservation laws with dissipative boundary conditions Boris Andreianov , Karima Sbihi 11th international conference on hyperbolic problems, Jul 2006, Lyon, France. pp.937-945 Communication dans un congrès hal-00475870v1
	Discrete Besov framework for finite volume approximation of the $p$-Laplacian on non-uniform Cartesian grids Boris Andreianov , Franck Boyer , Florence Hubert Paris-sud working group on modelling and scientific computing 2006-2007, 2006, Orsay, France. pp.1-10 Communication dans un congrès hal-00475892v1

	The mathematical theory of Hughes' model : a survey of results Debora Amadori , Boris Andreianov , Marco Di Francesco , Simone Fagioli , Théo Girard Crowd Dynamics, Volume 4 : Analytics and Human Factors in Crowd Modeling, Springer, inPress, Modeling and Simulation in Science, Engineering and Technology, 978-3-031-46358-7 Chapitre d'ouvrage hal-04087181v1
	Semigroup approach to conservation laws with discontinuous flux Boris Andreianov G.-Q. Chen, H. Holden and K.H. Karlsen. Springer Proceedings in Mathematics & Statistics Vol.49, 49, Springer, pp. 1-22, 2013, Hyperbolic Conservation Laws and Related Analysis with Applications, 978-3-642-39006-7. ⟨10.1007/978-3-642-39007-4_1⟩ Chapitre d'ouvrage hal-00698581v2

	Existence of solutions for a class of one-dimensional models of pedestrian evacuations Boris Andreianov , Théo Girard 2023 Pré-publication, Document de travail hal-03937464v2
	Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions Boris Andreianov , Abraham Sylla 2023 Pré-publication, Document de travail hal-03873169v2
	Existence analysis and numerical approximation for a second order model of traffic with orderliness marker Boris Andreianov , Abraham Sylla 2021 Pré-publication, Document de travail hal-03214129v3
	A macroscopic model to reproduce self-organization at bottlenecks Boris Andreianov , Abraham Sylla 2020 Pré-publication, Document de travail hal-02526538v1
	Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow Boris Andreianov , Carlotta Donadello , Massimiliano D. Rosini 2020 Pré-publication, Document de travail hal-02877276v2
	Uniqueness of entropy solutions to fractional conservation laws with "fully infinite" speed of propagation B Andreianov , M Brassart 2019 Pré-publication, Document de travail hal-02190753v3
	Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic Boris Andreianov , Massimiliano D. Rosini 2019 Pré-publication, Document de travail hal-02197482v2
	ON CLASSES OF WELL-POSEDNESS FOR QUASILINEAR DIFFUSION EQUATIONS IN THE WHOLE SPACE Boris Andreianov , Mohamed Maliki 2019 Pré-publication, Document de travail hal-02328003v1
	NONLOCAL DISSIPATION MEASURE AND L 1 KINETIC THEORY FOR FRACTIONAL CONSERVATION LAWS Nathaël Alibaud , Boris Andreianov , Adama Ouedraogo 2019 Pré-publication, Document de travail hal-02320423v1
	WELL-POSEDNESS FOR A MONOTONE SOLVER FOR TRAFFIC JUNCTIONS Boris Andreianov , Guiseppe Maria Coclite , Carlotta Donadello 2016 Pré-publication, Document de travail hal-01312742v1
	Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux Boris Andreianov , Carlotta D Donadello , Ulrich Razafison , Massimiliano D Rosini 2016 Pré-publication, Document de travail hal-01418272v2
	On the attainable set for a scalar nonconvex conservation law Boris Andreianov , Carlotta Donadello , Andrea Marson 2016 Pré-publication, Document de travail hal-01346993v1
	Solutions of the Aw-Rascle-Zhang system with point constraints Boris Andreianov , Carlotta Donadello , Ulrich Razafison , Julien Yves Rolland , Massimiliano D. Rosini 2015 Pré-publication, Document de travail hal-01191596v1
	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 Boris Andreianov , Carlotta Donadello , Ulrich Razafison , Massimiliano D. Rosini 2015 Pré-publication, Document de travail hal-01121965v2
	Explicit formulation for the Dirichlet problem for parabolic-hyperbolic conservation laws Boris Andreianov , Mohamed Karimou Gazibo 2015 Pré-publication, Document de travail hal-01152481v2
	A second order model for vehicular traffics with local point constraints on the flow B Andreianov , Carlotta Donadello , Massimiliano D. Rosini 2015 Pré-publication, Document de travail hal-01146116v1
	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. ] Boris Andreianov , Mohamed Karimou Gazibo 2013 Pré-publication, Document de travail hal-00857478v1

Boris Andreianov

Présentation

Publications

Lack of controllability of the viscous Burgers equation.Part I: The L^∞ setting.

A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs

Solvability analysis and numerical approximation of linearized cardiac electromechanics

Well-posedness of general boundary-value problems for scalar conservation laws

Entropy conditions for scalar conservation laws with discontinuous flux revisited

Solvability analysis and numerical approximation of linearized cardiac electromechanics

On the attainable set for a class of triangular systems of conservation laws

On interface transmission conditions for conservation laws with discontinuous flux of general shape

A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rocks media

Crowd dynamics and conservation laws with non-local constraints and capacity drop

Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium

Well-posedness for a one-dimensional fluid-particle interaction model

Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium

Entropy formulation of degenerate parabolic equation with zero-flux boundary condition

On 3D DDFV discretization of gradient and divergence operators. II. Discrete functional analysis tools and applications to degenerate parabolic problems.

Preconditioning operators and $L^\infty$ attractor for a class of reaction-diffusion systems

On uniqueness techniques for degenerate convection-diffusion problems

Convergence of approximate solutions to an elliptic-parabolic equation without the structure condition

Finite volume approximation of degenerate two-phase flow model with unlimited air mobility

Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes [Well-posedness of a singular balance law]

The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions

On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality.

Finite volume methods for degenerate chemotaxis model

A theory of L^1-dissipative solvers for scalar conservation laws with discontinuous flux

Convergence of discrete duality finite volume schemes for the cardiac bidomain model

Analysis of a finite volume method for a cross-diffusion model in population dynamics

Non-uniqueness of weak solutions for the fractal Burgers equation

Structural stability for variable exponent elliptic problems. I. The $p(x)$-laplacian kind problems.

A note on uniqueness of entropy solutions to degenerate parabolic equations in $\mathbb{R}^N$.

Renormalized solutions of the fractional Laplace equation

On vanishing viscosity approximation of conservation laws with discontinuous flux.

Finite volume schemes for constrained conservation laws

Small solids in an inviscid fluid

Finite volume schemes for locally constrained conservation laws

Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations

Structural stability for variable exponent elliptic problems. II. The $p(u)$-laplacian and coupled problems.

Well-posedness results for triply nonlinear degenerate parabolic equations.

On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption.

Discrete duality finite volume schemes for Leray-Lions type elliptic problems on general 2D meshes

Uniqueness for inhomogeneous Dirichlet problem for elliptic-parabolic equations

Scalar conservation laws with nonlinear boundary conditions

On the finite-volume approximation of regular solutions of the $p$-Laplacian

Revising uniqueness for a nonlinear diffusion-convection equation

Besov regularity and new error estimates for finite volume approximations of the p-laplacian

Finite volume schemes for the p-laplacian on cartesian meshes

"Convergence of Finite Volume Approximations for a Nonlinear Elliptic-Parabolic Problem: a ""Continuous"" Approach."

Convergence of finite volume scheme for degenerate parabolic problem with zero flux boundary condition

NEW APPROACHES TO DESCRIBING ADMISSIBILITY OF SOLUTIONS OF SCALAR CONSERVATION LAWS WITH DISCONTINUOUS FLUX

Riemann problems with non--local point constraints and capacity drop

One-dimensional conservation law with boundary conditions: general results and spatially inhomogeneous case

Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes

Time compactness tools for discretized evolution equations and applications to degenerate parabolic PDEs

On Intrinsic Formulation and Well-posedness of a Singular Limit of Two-phase Flow Equations in Porous Media

Dissipative interface coupling of conservation laws

A gradient reconstruction formula for nite volume schemes and discrete duality

A gradient reconstruction formula for finite volume schemes and discrete duality

Strong boundary traces and well-posedness for scalar conservation laws with dissipative boundary conditions

Discrete Besov framework for finite volume approximation of the $p$-Laplacian on non-uniform Cartesian grids

The mathematical theory of Hughes' model : a survey of results

Semigroup approach to conservation laws with discontinuous flux

Existence of solutions for a class of one-dimensional models of pedestrian evacuations

Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions

Existence analysis and numerical approximation for a second order model of traffic with orderliness marker

A macroscopic model to reproduce self-organization at bottlenecks

Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow

Uniqueness of entropy solutions to fractional conservation laws with "fully infinite" speed of propagation

Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic

ON CLASSES OF WELL-POSEDNESS FOR QUASILINEAR DIFFUSION EQUATIONS IN THE WHOLE SPACE

NONLOCAL DISSIPATION MEASURE AND L 1 KINETIC THEORY FOR FRACTIONAL CONSERVATION LAWS

WELL-POSEDNESS FOR A MONOTONE SOLVER FOR TRAFFIC JUNCTIONS

Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux

On the attainable set for a scalar nonconvex conservation law

Solutions of the Aw-Rascle-Zhang system with point constraints

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

Explicit formulation for the Dirichlet problem for parabolic-hyperbolic conservation laws

A second order model for vehicular traffics with local point constraints on the flow