Vasseur, Alexis F.

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 Author ID: vasseur.alexis-f Published as: Vasseur, Alexis; Vasseur, Alexis F.; Vasseur, A. more...less Homepage: http://www.ma.utexas.edu/users/vasseur/ External Links: MGP · Wikidata · dblp · IdRef · theses.fr
 Documents Indexed: 100 Publications since 1996 Co-Authors: 57 Co-Authors with 86 Joint Publications 1,395 Co-Co-Authors
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Co-Authors

 14 single-authored 11 Kang, Moon-Jin 8 Goudon, Thierry 7 Mellet, Antoine 6 Caffarelli, Luis Ángel 5 Yu, Cheng 4 Choi, Kyudong 3 Berthelin, Florent 3 Chan, Chi Hin 3 Collet, Jean-François 3 Kwon, Young-Sam 3 Michoski, C. E. 3 Novack, Matthew D. 3 Poupaud, Frédéric 3 Serre, Denis 3 Wang, Yi 2 Allen, Mark G. 2 Bresch, Didier 2 Caputo, M. Cristina 2 Ducomet, Bernard 2 Feireisl, Eduard 2 Martínez Gamba, Irene 2 Krupa, Sam G. 2 Lacroix-Violet, Ingrid 2 Leger, Nicholas 2 Nečasová, Šárka 2 Perthame, Benoît 2 Schmitz, Phillip G. 2 Stokols, Logan F. 2 Vishik, Misha M. 1 Akopian, Sona 1 Baer, Eric 1 Besnard, D. C. 1 Bjorland, Clayton 1 Bostan, Mihai 1 Botchorishvili, Ramaz 1 Chainais-Hillairet, Claire 1 Chen, Robin Ming 1 Ducros, Frédéric 1 Gisclon, Marguerite 1 Golse, François 1 Hariz, Sara 1 Imbert, Cyril 1 Jabin, Pierre-Emmanuel 1 Jüngel, Ansgar 1 Kreml, Ondřej 1 Lafleche, Laurent 1 Loeper, Grégoire 1 Loreaux, Philippe 1 Merlet, Benoît 1 Mimouni, Stéphane 1 Mischler, Stéphane 1 Mouhot, Clément 1 Puel, Marjolaine 1 Tzavaras, Athanasios E. 1 Wen, Huanyao 1 Yang, Jincheng 1 Yao, Lei
all top 5

Serials

 10 Archive for Rational Mechanics and Analysis 8 SIAM Journal on Mathematical Analysis 5 Communications in Mathematical Physics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Communications in Mathematical Sciences 3 Indiana University Mathematics Journal 3 Communications in Partial Differential Equations 3 Journal of Mathematical Fluid Mechanics 2 Journal of Computational Physics 2 Journal of Statistical Physics 2 Inventiones Mathematicae 2 Journal of Differential Equations 2 SIAM Journal on Numerical Analysis 2 Asymptotic Analysis 2 Methods and Applications of Analysis 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Hyperbolic Differential Equations 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Monatshefte für Mathematik 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Journal of the American Mathematical Society 1 Applications of Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Séminaire Équations aux Dérivées Partielles 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Multiscale Modeling & Simulation 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Journal de l’École Polytechnique – Mathématiques
all top 5

Fields

 93 Partial differential equations (35-XX) 53 Fluid mechanics (76-XX) 15 Statistical mechanics, structure of matter (82-XX) 8 Numerical analysis (65-XX) 5 Geophysics (86-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

Citations contained in zbMATH Open

90 Publications have been cited 2,035 times in 1,368 Documents Cited by Year
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. Zbl 1204.35063
Caffarelli, Luis A.; Vasseur, Alexis
2010
On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070
Mellet, A.; Vasseur, A.
2007
Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations. Zbl 1141.76054
Mellet, A.; Vasseur, A.
2008
A parabolic problem with a fractional time derivative. Zbl 1338.35428
Allen, Mark; Caffarelli, Luis; Vasseur, Alexis
2016
Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations. Zbl 1155.35415
Mellet, A.; Vasseur, A.
2008
Strong traces for solutions of multidimensional scalar conservation laws. Zbl 0999.35018
Vasseur, Alexis
2001
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042
Mellet, A.; Vasseur, A.
2007
Regularity theory for parabolic nonlinear integral operators. Zbl 1223.35098
Caffarelli, Luis; Chan, Chi Hin; Vasseur, Alexis
2011
Hydrodynamic limit for the Vlasov-Navier-Stokes equations. I: Light particles regime. II: Fine particles regime. Zbl 1085.35117
Goudon, Thierry; Jabin, Pierre-Emmanuel; Vasseur, Alexis
2004
A new proof of partial regularity of solutions to Navier-Stokes equations. Zbl 1142.35066
Vasseur, Alexis F.
2007
Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations. Zbl 1354.35115
Vasseur, Alexis F.; Yu, Cheng
2016
Equilibrium schemes for scalar conservation laws with stiff sources. Zbl 1017.65070
Botchorishvili, Ramaz; Perthame, Benoit; Vasseur, Alexis
2003
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation. Zbl 1431.35016
Golse, François; Imbert, Cyril; Mouhot, Clément; Vasseur, Alexis
2019
Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non-$$BV$$ perturbations. Zbl 1261.35090
Leger, Nicholas; Vasseur, Alexis
2011
From kinetic equations to multidimensional isentropic gas dynamics before shocks. Zbl 1130.35090
Berthelin, F.; Vasseur, A.
2005
Global weak solutions to the compressible quantum Navier-Stokes equations with damping. Zbl 1343.35189
Vasseur, Alexis F.; Yu, Cheng
2016
Regularity analysis for systems of reaction-diffusion equations. Zbl 1191.35202
Goudon, Thierry; Vasseur, Alexis
2010
Global weak solution to the viscous two-fluid model with finite energy. Zbl 1450.76033
Vasseur, Alexis; Wen, Huanyao; Yu, Cheng
2019
Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations. Zbl 1198.35175
Chan, Chi Hin; Vasseur, Alexis
2007
Strong traces for solutions to scalar conservation laws with general flux. Zbl 1121.35078
Kwon, Young-Sam; Vasseur, Alexis
2007
Classical and quantum transport in random media. Zbl 1035.82037
Poupaud, Frédéric; Vasseur, Alexis
2003
Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity. Zbl 1212.35354
Vasseur, Alexis
2009
Porous medium flow with both a fractional potential pressure and fractional time derivative. Zbl 1372.35328
Allen, Mark; Caffarelli, Luis; Vasseur, Alexis
2017
Recent results on hydrodynamic limits. Zbl 1185.35003
Vasseur, Alexis F.
2008
Global weak solutions to the compressible quantum Navier-Stokes equation and its semi-classical limit. Zbl 1392.35228
Lacroix-Violet, Ingrid; Vasseur, Alexis
2018
Asymptotic analysis of Vlasov-type equations under strong local alignment regime. Zbl 1331.35345
Kang, Moon-Jin; Vasseur, Alexis F.
2015
From discrete velocity Boltzmann equations to gas dynamics before shocks. Zbl 1168.82322
Berthelin, Florent; Tzavaras, Athanasios E.; Vasseur, Alexis
2009
Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209
Gamba, Irene M.; Jüngel, Ansgar; Vasseur, Alexis
2009
Global regularity of solutions to systems of reaction-diffusion with sub-quadratic growth in any dimension. Zbl 1181.35295
Caputo, M. Cristina; Vasseur, Alexis
2009
$$L^2$$-type contraction for systems of conservation laws. (Contraction de type $$L^2$$ pour des systèmes de lois de conservation.) Zbl 1310.62079
Serre, Denis; Vasseur, Alexis F.
2014
The Becker-Döring system and its Lifshitz-Slyozov limit. Zbl 1025.45005
Collet, Jean-François; Goudon, Thierry; Poupaud, Frédéric; Vasseur, Alexis
2002
The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics. Zbl 1210.76039
Caffarelli, Luis A.; Vasseur, Alexis F.
2010
Time regularity for the system of isentropic gas dynamics with $$\gamma=3$$. Zbl 0940.35169
Vasseur, A.
1999
Short-time stability of scalar viscous shocks in the inviscid limit by the relative entropy method. Zbl 1316.35195
Choi, Kyudong; Vasseur, Alexis F.
2015
Stability of the isentropic Riemann solutions of the full multidimensional Euler system. Zbl 1325.35148
Feireisl, E.; Kreml, O.; Vasseur, A.
2015
Bjorland, Clayton; Vasseur, Alexis
2011
Solutions of the 4-species quadratic reaction-diffusion system are bounded and $$C^\infty$$-smooth, in any space dimension. Zbl 1423.35164
Caputo, M. Cristina; Goudon, Thierry; Vasseur, Alexis F.
2019
Relative entropy and contraction for extremal shocks of conservation laws up to a shift. Zbl 1357.35219
Vasseur, Alexis F.
2016
$$L^{2}$$-contraction for shock waves of scalar viscous conservation laws. Zbl 1368.35183
Kang, Moon-Jin; Vasseur, Alexis F.
2017
Criteria on contractions for entropic discontinuities of systems of conservation laws. Zbl 1354.35077
Kang, Moon-Jin; Vasseur, Alexis F.
2016
Well-posedness of scalar conservation laws with singular sources. Zbl 1084.35046
Vasseur, Alexis
2002
New perspectives in fluid dynamics: mathematical analysis of a model proposed by Howard Brenner. Zbl 1221.35276
Feireisl, Eduard; Vasseur, Alexis
2010
About the relative entropy method for hyperbolic systems of conservation laws. Zbl 1355.35138
Serre, Denis; Vasseur, Alexis F.
2016
The inviscid limit to a contact discontinuity for the compressible Navier-Stokes-Fourier system using the relative entropy method. Zbl 1333.35165
Vasseur, Alexis; Wang, Yi
2015
$$L^2$$-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws. Zbl 1417.35129
Kang, Moon-Jin; Vasseur, Alexis F.; Wang, Yi
2019
On spherically symmetric motions of a viscous compressible barotropic and selfgravitating gas. Zbl 1270.35338
Ducomet, Bernard; Nečasová, Šárka; Vasseur, Alexis
2011
Nonlinear stability of viscous shock wave to one-dimensional compressible isentropic Navier-Stokes equations with density dependent viscous coefficient. Zbl 1360.35152
Vasseur, Alexis F.; Yao, Lei
2016
The relative entropy method for the stability of intermediate shock waves; the rich case. Zbl 1347.35169
Serre, Denis; Vasseur, Alexis
2016
Kinetic semidiscretization of scalar conservation laws and convergence by using averaging lemmas. Zbl 0920.65060
Vasseur, Alexis
1998
Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations. Zbl 1297.76047
Choi, Kyudong; Vasseur, Alexis F.
2014
Convergence of a semi-discrete kinetic scheme for the system of isentropic gas dynamics with $$\gamma=3$$. Zbl 1020.65054
Vasseur, Alexis
1999
Global in time classical solutions to the 3D quasi-geostrophic system for large initial data. Zbl 1417.35137
Novack, Matthew D.; Vasseur, Alexis F.
2018
On global motions of a compressible barotropic and self-gravitating gas with density-dependent viscosities. Zbl 1244.76105
Ducomet, Bernard; Nečasová, Šárka; Vasseur, Alexis
2010
A discontinuous Galerkin method for viscous compressible multifluids. Zbl 1303.76088
Michoski, C.; Evans, J. A.; Schmitz, P. G.; Vasseur, A.
2010
Global weak solutions to the inviscid 3D quasi-geostrophic equation. Zbl 1328.35177
Puel, Marjolaine; Vasseur, Alexis F.
2015
Some remarks on large-time asymptotic of the Lifshitz-Slyozov equations. Zbl 1067.82046
Collet, Jean-François; Goudon, Thierry; Vasseur, Alexis
2002
Electric turbulence in a plasma subject to a strong magnetic field. Zbl 1080.35153
Loeper, G.; Vasseur, A.
2004
The De Giorgi method for elliptic and parabolic equations and some applications. Zbl 1353.35096
Vasseur, Alexis F.
2016
Existence and uniqueness of strong solutions for a compressible multiphase Navier-Stokes miscible fluid-flow problem in dimension $$n=1$$. Zbl 1166.76047
Michoski, C.; Vasseur, A.
2009
Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. Zbl 1236.82062
Bostan, Mihai; Gamba, Irene M.; Thierry; Vasseur, Alexis
2010
De Giorgi techniques applied to Hamilton-Jacobi equations with unbounded right-hand side. Zbl 1415.35095
Stokols, Logan F.; Vasseur, Alexis F.
2019
Higher derivatives estimate for the 3D Navier-Stokes equation. Zbl 1396.35046
Vasseur, Alexis
2010
The De Giorgi method for nonlocal fluid dynamics. Zbl 1357.35249
Caffarelli, Luis A.; Vasseur, Alexis
2012
On uniqueness of solutions to conservation laws verifying a single entropy condition. Zbl 1453.35122
Krupa, Sam G.; Vasseur, Alexis F.
2019
Regularization in Keller-Segel type systems and the De Giorgi method. Zbl 1288.35146
Perthame, Benoît; Vasseur, Alexis
2012
Asymptotic limit to a shock for BGK models using relative entropy method. Zbl 1316.35196
Kwon, Young-Sam; Vasseur, Alexis F.
2015
Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model. Zbl 1443.92058
Choi, Kyudong; Kang, Moon-Jin; Kwon, Young-Sam; Vasseur, Alexis F.
2020
Study of a generalized fragmentation model for sprays. Zbl 1188.35134
Leger, Nicholas; Vasseur, Alexis F.
2009
Blow-up solutions to 3D Euler are hydrodynamically unstable. Zbl 1446.35114
Vasseur, Alexis F.; Vishik, Misha
2020
Stability and uniqueness for piecewise smooth solutions to a nonlocal scalar conservation law with applications to Burgers-Hilbert equation. Zbl 1453.35123
Krupa, Sam G.; Vasseur, Alexis F.
2020
Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system. Zbl 1460.76614
Kang, Moon-Jin; Vasseur, Alexis F.
2021
$$L^p$$ estimates for quantities advected by a compressible flow. Zbl 1172.35056
Mellet, Antoine; Vasseur, Alexis
2009
A bound from below for the temperature in compressible Navier-Stokes equations. Zbl 1173.35100
Mellet, Antoine; Vasseur, Alexis
2009
Quantum hydrodynamics with trajectories: the nonlinear conservation form mixed/discontinuous Galerkin method with applications in chemistry. Zbl 1287.76244
Michoski, C.; Evans, J. A.; Schmitz, P. G.; Vasseur, A.
2009
De Giorgi techniques applied to the Hölder regularity of solutions to Hamilton-Jacobi equations. Zbl 1390.35048
Chan, Chi Hin; Vasseur, Alexis
2017
Global smooth solutions for 1D barotropic Navier-Stokes equations with a large class of degenerate viscosities. Zbl 1442.35339
Kang, Moon-Jin; Vasseur, Alexis F.
2020
Global well-posedness of large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model. Zbl 1448.92036
Choi, Kyudong; Kang, Moon-Jin; Vasseur, Alexis F.
2020
Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier-Stokes systems. Zbl 1460.76661
Kang, Moon-Jin; Vasseur, Alexis F.
2021
The inviscid three dimensional quasi-geostrophic system on bounded domains. Zbl 1435.35308
Novack, Matthew D.; Vasseur, Alexis F.
2020
On a model for mixture flows: derivation, dissipation and stability properties. Zbl 1339.35319
Goudon, Thierry; Vasseur, Alexis
2016
Existence and properties of semidiscrete shock profiles for the isentropic gas dynamic system with $$\gamma=3$$. Zbl 1002.76062
Vasseur, Alexis
2001
A bound from below on the temperature for the Navier-Stokes-Fourier system. Zbl 1285.35075
Baer, Eric; Vasseur, Alexis
2013
A rigorous derivation of the coupling of a kinetic equation and Burgers’ equation. Zbl 1256.35047
Vasseur, Alexis F.
2012
Inviscid limit to the shock waves for the fractal Burgers equation. Zbl 1462.35200
Akopian, Sona; Kang, Moon-Jin; Vasseur, Alexis
2020
Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics. Zbl 07436485
Chen, Robin Ming; Vasseur, Alexis F.; Yu, Cheng
2021
On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term. Zbl 07451596
Bresch, D.; Gisclon, M.; Lacroix-Violet, I.; Vasseur, A.
2022
On the convergence of numerical schemes for the Boltzmann equation. Zbl 1038.82082
Horsin, T.; Mischler, S.; Vasseur, A.
2003
Positive lower bound for the numerical solution of a convection-diffusion equation. Zbl 1372.65291
Chainais-Hillairet, Claire; Merlet, Benoît; Vasseur, Alexis F.
2017
Hölder regularity up to the boundary for critical SQG on bounded domains. Zbl 1439.35480
Stokols, Logan F.; Vasseur, Alexis F.
2020
Global existence of entropy-weak solutions to the compressible Navier-Stokes equations with non-linear density dependent viscosities. Zbl 07509409
Bresch, Didier; Vasseur, Alexis F.; Yu, Cheng
2022
On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term. Zbl 07451596
Bresch, D.; Gisclon, M.; Lacroix-Violet, I.; Vasseur, A.
2022
Global existence of entropy-weak solutions to the compressible Navier-Stokes equations with non-linear density dependent viscosities. Zbl 07509409
Bresch, Didier; Vasseur, Alexis F.; Yu, Cheng
2022
Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system. Zbl 1460.76614
Kang, Moon-Jin; Vasseur, Alexis F.
2021
Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier-Stokes systems. Zbl 1460.76661
Kang, Moon-Jin; Vasseur, Alexis F.
2021
Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics. Zbl 07436485
Chen, Robin Ming; Vasseur, Alexis F.; Yu, Cheng
2021
Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model. Zbl 1443.92058
Choi, Kyudong; Kang, Moon-Jin; Kwon, Young-Sam; Vasseur, Alexis F.
2020
Blow-up solutions to 3D Euler are hydrodynamically unstable. Zbl 1446.35114
Vasseur, Alexis F.; Vishik, Misha
2020
Stability and uniqueness for piecewise smooth solutions to a nonlocal scalar conservation law with applications to Burgers-Hilbert equation. Zbl 1453.35123
Krupa, Sam G.; Vasseur, Alexis F.
2020
Global smooth solutions for 1D barotropic Navier-Stokes equations with a large class of degenerate viscosities. Zbl 1442.35339
Kang, Moon-Jin; Vasseur, Alexis F.
2020
Global well-posedness of large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model. Zbl 1448.92036
Choi, Kyudong; Kang, Moon-Jin; Vasseur, Alexis F.
2020
The inviscid three dimensional quasi-geostrophic system on bounded domains. Zbl 1435.35308
Novack, Matthew D.; Vasseur, Alexis F.
2020
Inviscid limit to the shock waves for the fractal Burgers equation. Zbl 1462.35200
Akopian, Sona; Kang, Moon-Jin; Vasseur, Alexis
2020
Hölder regularity up to the boundary for critical SQG on bounded domains. Zbl 1439.35480
Stokols, Logan F.; Vasseur, Alexis F.
2020
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation. Zbl 1431.35016
Golse, François; Imbert, Cyril; Mouhot, Clément; Vasseur, Alexis
2019
Global weak solution to the viscous two-fluid model with finite energy. Zbl 1450.76033
Vasseur, Alexis; Wen, Huanyao; Yu, Cheng
2019
Solutions of the 4-species quadratic reaction-diffusion system are bounded and $$C^\infty$$-smooth, in any space dimension. Zbl 1423.35164
Caputo, M. Cristina; Goudon, Thierry; Vasseur, Alexis F.
2019
$$L^2$$-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws. Zbl 1417.35129
Kang, Moon-Jin; Vasseur, Alexis F.; Wang, Yi
2019
De Giorgi techniques applied to Hamilton-Jacobi equations with unbounded right-hand side. Zbl 1415.35095
Stokols, Logan F.; Vasseur, Alexis F.
2019
On uniqueness of solutions to conservation laws verifying a single entropy condition. Zbl 1453.35122
Krupa, Sam G.; Vasseur, Alexis F.
2019
Global weak solutions to the compressible quantum Navier-Stokes equation and its semi-classical limit. Zbl 1392.35228
Lacroix-Violet, Ingrid; Vasseur, Alexis
2018
Global in time classical solutions to the 3D quasi-geostrophic system for large initial data. Zbl 1417.35137
Novack, Matthew D.; Vasseur, Alexis F.
2018
Porous medium flow with both a fractional potential pressure and fractional time derivative. Zbl 1372.35328
Allen, Mark; Caffarelli, Luis; Vasseur, Alexis
2017
$$L^{2}$$-contraction for shock waves of scalar viscous conservation laws. Zbl 1368.35183
Kang, Moon-Jin; Vasseur, Alexis F.
2017
De Giorgi techniques applied to the Hölder regularity of solutions to Hamilton-Jacobi equations. Zbl 1390.35048
Chan, Chi Hin; Vasseur, Alexis
2017
Positive lower bound for the numerical solution of a convection-diffusion equation. Zbl 1372.65291
Chainais-Hillairet, Claire; Merlet, Benoît; Vasseur, Alexis F.
2017
A parabolic problem with a fractional time derivative. Zbl 1338.35428
Allen, Mark; Caffarelli, Luis; Vasseur, Alexis
2016
Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations. Zbl 1354.35115
Vasseur, Alexis F.; Yu, Cheng
2016
Global weak solutions to the compressible quantum Navier-Stokes equations with damping. Zbl 1343.35189
Vasseur, Alexis F.; Yu, Cheng
2016
Relative entropy and contraction for extremal shocks of conservation laws up to a shift. Zbl 1357.35219
Vasseur, Alexis F.
2016
Criteria on contractions for entropic discontinuities of systems of conservation laws. Zbl 1354.35077
Kang, Moon-Jin; Vasseur, Alexis F.
2016
About the relative entropy method for hyperbolic systems of conservation laws. Zbl 1355.35138
Serre, Denis; Vasseur, Alexis F.
2016
Nonlinear stability of viscous shock wave to one-dimensional compressible isentropic Navier-Stokes equations with density dependent viscous coefficient. Zbl 1360.35152
Vasseur, Alexis F.; Yao, Lei
2016
The relative entropy method for the stability of intermediate shock waves; the rich case. Zbl 1347.35169
Serre, Denis; Vasseur, Alexis
2016
The De Giorgi method for elliptic and parabolic equations and some applications. Zbl 1353.35096
Vasseur, Alexis F.
2016
On a model for mixture flows: derivation, dissipation and stability properties. Zbl 1339.35319
Goudon, Thierry; Vasseur, Alexis
2016
Asymptotic analysis of Vlasov-type equations under strong local alignment regime. Zbl 1331.35345
Kang, Moon-Jin; Vasseur, Alexis F.
2015
Short-time stability of scalar viscous shocks in the inviscid limit by the relative entropy method. Zbl 1316.35195
Choi, Kyudong; Vasseur, Alexis F.
2015
Stability of the isentropic Riemann solutions of the full multidimensional Euler system. Zbl 1325.35148
Feireisl, E.; Kreml, O.; Vasseur, A.
2015
The inviscid limit to a contact discontinuity for the compressible Navier-Stokes-Fourier system using the relative entropy method. Zbl 1333.35165
Vasseur, Alexis; Wang, Yi
2015
Global weak solutions to the inviscid 3D quasi-geostrophic equation. Zbl 1328.35177
Puel, Marjolaine; Vasseur, Alexis F.
2015
Asymptotic limit to a shock for BGK models using relative entropy method. Zbl 1316.35196
Kwon, Young-Sam; Vasseur, Alexis F.
2015
$$L^2$$-type contraction for systems of conservation laws. (Contraction de type $$L^2$$ pour des systèmes de lois de conservation.) Zbl 1310.62079
Serre, Denis; Vasseur, Alexis F.
2014
Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations. Zbl 1297.76047
Choi, Kyudong; Vasseur, Alexis F.
2014
A bound from below on the temperature for the Navier-Stokes-Fourier system. Zbl 1285.35075
Baer, Eric; Vasseur, Alexis
2013
The De Giorgi method for nonlocal fluid dynamics. Zbl 1357.35249
Caffarelli, Luis A.; Vasseur, Alexis
2012
Regularization in Keller-Segel type systems and the De Giorgi method. Zbl 1288.35146
Perthame, Benoît; Vasseur, Alexis
2012
A rigorous derivation of the coupling of a kinetic equation and Burgers’ equation. Zbl 1256.35047
Vasseur, Alexis F.
2012
Regularity theory for parabolic nonlinear integral operators. Zbl 1223.35098
Caffarelli, Luis; Chan, Chi Hin; Vasseur, Alexis
2011
Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non-$$BV$$ perturbations. Zbl 1261.35090
Leger, Nicholas; Vasseur, Alexis
2011
Bjorland, Clayton; Vasseur, Alexis
2011
On spherically symmetric motions of a viscous compressible barotropic and selfgravitating gas. Zbl 1270.35338
Ducomet, Bernard; Nečasová, Šárka; Vasseur, Alexis
2011
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. Zbl 1204.35063
Caffarelli, Luis A.; Vasseur, Alexis
2010
Regularity analysis for systems of reaction-diffusion equations. Zbl 1191.35202
Goudon, Thierry; Vasseur, Alexis
2010
The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics. Zbl 1210.76039
Caffarelli, Luis A.; Vasseur, Alexis F.
2010
New perspectives in fluid dynamics: mathematical analysis of a model proposed by Howard Brenner. Zbl 1221.35276
Feireisl, Eduard; Vasseur, Alexis
2010
On global motions of a compressible barotropic and self-gravitating gas with density-dependent viscosities. Zbl 1244.76105
Ducomet, Bernard; Nečasová, Šárka; Vasseur, Alexis
2010
A discontinuous Galerkin method for viscous compressible multifluids. Zbl 1303.76088
Michoski, C.; Evans, J. A.; Schmitz, P. G.; Vasseur, A.
2010
Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. Zbl 1236.82062
Bostan, Mihai; Gamba, Irene M.; Thierry; Vasseur, Alexis
2010
Higher derivatives estimate for the 3D Navier-Stokes equation. Zbl 1396.35046
Vasseur, Alexis
2010
Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity. Zbl 1212.35354
Vasseur, Alexis
2009
From discrete velocity Boltzmann equations to gas dynamics before shocks. Zbl 1168.82322
Berthelin, Florent; Tzavaras, Athanasios E.; Vasseur, Alexis
2009
Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209
Gamba, Irene M.; Jüngel, Ansgar; Vasseur, Alexis
2009
Global regularity of solutions to systems of reaction-diffusion with sub-quadratic growth in any dimension. Zbl 1181.35295
Caputo, M. Cristina; Vasseur, Alexis
2009
Existence and uniqueness of strong solutions for a compressible multiphase Navier-Stokes miscible fluid-flow problem in dimension $$n=1$$. Zbl 1166.76047
Michoski, C.; Vasseur, A.
2009
Study of a generalized fragmentation model for sprays. Zbl 1188.35134
Leger, Nicholas; Vasseur, Alexis F.
2009
$$L^p$$ estimates for quantities advected by a compressible flow. Zbl 1172.35056
Mellet, Antoine; Vasseur, Alexis
2009
A bound from below for the temperature in compressible Navier-Stokes equations. Zbl 1173.35100
Mellet, Antoine; Vasseur, Alexis
2009
Quantum hydrodynamics with trajectories: the nonlinear conservation form mixed/discontinuous Galerkin method with applications in chemistry. Zbl 1287.76244
Michoski, C.; Evans, J. A.; Schmitz, P. G.; Vasseur, A.
2009
Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations. Zbl 1141.76054
Mellet, A.; Vasseur, A.
2008
Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations. Zbl 1155.35415
Mellet, A.; Vasseur, A.
2008
Recent results on hydrodynamic limits. Zbl 1185.35003
Vasseur, Alexis F.
2008
On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070
Mellet, A.; Vasseur, A.
2007
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042
Mellet, A.; Vasseur, A.
2007
A new proof of partial regularity of solutions to Navier-Stokes equations. Zbl 1142.35066
Vasseur, Alexis F.
2007
Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations. Zbl 1198.35175
Chan, Chi Hin; Vasseur, Alexis
2007
Strong traces for solutions to scalar conservation laws with general flux. Zbl 1121.35078
Kwon, Young-Sam; Vasseur, Alexis
2007
From kinetic equations to multidimensional isentropic gas dynamics before shocks. Zbl 1130.35090
Berthelin, F.; Vasseur, A.
2005
Hydrodynamic limit for the Vlasov-Navier-Stokes equations. I: Light particles regime. II: Fine particles regime. Zbl 1085.35117
Goudon, Thierry; Jabin, Pierre-Emmanuel; Vasseur, Alexis
2004
Electric turbulence in a plasma subject to a strong magnetic field. Zbl 1080.35153
Loeper, G.; Vasseur, A.
2004
Equilibrium schemes for scalar conservation laws with stiff sources. Zbl 1017.65070
Botchorishvili, Ramaz; Perthame, Benoit; Vasseur, Alexis
2003
Classical and quantum transport in random media. Zbl 1035.82037
Poupaud, Frédéric; Vasseur, Alexis
2003
On the convergence of numerical schemes for the Boltzmann equation. Zbl 1038.82082
Horsin, T.; Mischler, S.; Vasseur, A.
2003
The Becker-Döring system and its Lifshitz-Slyozov limit. Zbl 1025.45005
Collet, Jean-François; Goudon, Thierry; Poupaud, Frédéric; Vasseur, Alexis
2002
Well-posedness of scalar conservation laws with singular sources. Zbl 1084.35046
Vasseur, Alexis
2002
Some remarks on large-time asymptotic of the Lifshitz-Slyozov equations. Zbl 1067.82046
Collet, Jean-François; Goudon, Thierry; Vasseur, Alexis
2002
Strong traces for solutions of multidimensional scalar conservation laws. Zbl 0999.35018
Vasseur, Alexis
2001
Existence and properties of semidiscrete shock profiles for the isentropic gas dynamic system with $$\gamma=3$$. Zbl 1002.76062
Vasseur, Alexis
2001
Time regularity for the system of isentropic gas dynamics with $$\gamma=3$$. Zbl 0940.35169
Vasseur, A.
1999
Convergence of a semi-discrete kinetic scheme for the system of isentropic gas dynamics with $$\gamma=3$$. Zbl 1020.65054
Vasseur, Alexis
1999
Kinetic semidiscretization of scalar conservation laws and convergence by using averaging lemmas. Zbl 0920.65060
Vasseur, Alexis
1998
all top 5

Cited by 1,500 Authors

 56 Vasseur, Alexis F. 20 Mai Duc Thanh 19 Goudon, Thierry 17 Kang, Moon-Jin 16 Kwon, Young-Sam 15 Choi, Young-Pil 15 Jiu, Quansen 15 Lian, Ruxu 15 Wang, Yi 13 Constantin, Peter 12 Guo, Zhenhua 12 Novotný, Antonín 12 Zatorska, Ewelina 11 Bresch, Didier 11 Caffarelli, Luis Ángel 11 Feireisl, Eduard 11 Ha, Seung-Yeal 11 Silvestre, Luis E. 11 Vazquez, Juan Luis 11 Vicol, Vlad C. 11 Wang, Yanqing 11 Yao, Lei 11 Yu, Cheng 10 Dong, Hongjie 10 Jin, Shi 10 Li, Hailiang 10 Liu, Jianguo 10 Trivisa, Konstantina 10 Wen, Huanyao 10 Xin, Zhouping 10 Zhu, Changjiang 9 Andreianov, Boris 9 Haspot, Boris 9 Imbert, Cyril 9 Karlsen, Kenneth Hvistendahl 9 Pierre, Michel 9 Tang, Bao Quoc 9 Yang, Jianwei 8 Berthelin, Florent 8 Cuong, Dao Huy 8 Gala, Sadek 8 Nečasová, Šárka 8 Perthame, Benoît 8 Xue, Liutang 8 Zhu, Shengguo 7 Dai, Wei 7 Desvillettes, Laurent 7 Dong, Boqing 7 Fellner, Klemens 7 Friedlander, Susan Jean 7 Gosse, Laurent 7 Jabin, Pierre-Emmanuel 7 Pokorný, Milan 7 Quirós Gracián, Fernando 7 Rosini, Massimiliano Daniele 7 Seguin, Nicolas 7 Sire, Yannick 7 Stinga, Pablo Raúl 7 Wang, Dehua 7 Wang, Pengyan 7 Yu, Xinwei 6 Antonelli, Paolo 6 Carrillo de la Plata, José Antonio 6 Dai, Mimi 6 Jia, Yan 6 Kuznetsov, Ivan V. 6 Li, Fucai 6 Li, Lei 6 Li, Yachun 6 Liu, Jian 6 Miao, Changxing 6 Morgan, Jeff J. 6 Novack, Matthew D. 6 Peng, Shaolong 6 Ryzhik, Lenya 6 Shvydkoy, Roman V. 6 Soler, Juan S. 6 Spirito, Stefano 6 Tang, Tong 6 Valdinoci, Enrico 6 Wu, Gang 6 Wu, Jiahong 6 Zhang, Zhifei 5 Alonso Rodríguez, Ana 5 Bal, Guillaume 5 Beirão da Veiga, Hugo 5 Chamorro, Diego 5 Chen, Gui-Qiang G. 5 de Pablo, Arturo 5 Desjardins, Benoît 5 Dipierro, Serena 5 Donadello, Carlotta 5 Dong, Jianwei 5 Dou, Changsheng 5 Fan, Jishan 5 Huang, Bingkang 5 Jung, Jinwook 5 Kang, Kyungkeun 5 Kim, Jeongho 5 Kukavica, Igor ...and 1,400 more Authors
all top 5

Cited in 209 Serials

 112 Journal of Differential Equations 60 SIAM Journal on Mathematical Analysis 56 Archive for Rational Mechanics and Analysis 50 Journal of Mathematical Fluid Mechanics 42 Journal of Mathematical Analysis and Applications 42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 37 Journal of Mathematical Physics 35 Communications in Mathematical Physics 35 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 30 Discrete and Continuous Dynamical Systems 29 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 26 Journal of Functional Analysis 24 Journal of Computational Physics 24 Journal of Evolution Equations 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 22 Advances in Mathematics 22 Nonlinear Analysis. Real World Applications 20 Applied Mathematics Letters 20 Journal of Hyperbolic Differential Equations 19 Discrete and Continuous Dynamical Systems. Series B 18 Nonlinearity 18 Calculus of Variations and Partial Differential Equations 17 Communications on Pure and Applied Analysis 17 Kinetic and Related Models 14 Mathematical Methods in the Applied Sciences 13 Communications in Partial Differential Equations 12 Journal of Statistical Physics 12 Applied Mathematics and Computation 11 Discrete and Continuous Dynamical Systems. Series S 10 Transactions of the American Mathematical Society 9 Computers & Mathematics with Applications 9 Mathematics of Computation 9 Quarterly of Applied Mathematics 9 Acta Applicandae Mathematicae 9 Physica D 9 Journal of Scientific Computing 9 Journal of Nonlinear Science 9 Boundary Value Problems 8 Applicable Analysis 8 Acta Mathematicae Applicatae Sinica. English Series 8 NoDEA. Nonlinear Differential Equations and Applications 7 Proceedings of the American Mathematical Society 7 Advances in Nonlinear Analysis 6 Chinese Annals of Mathematics. Series B 6 SIAM Journal on Applied Mathematics 6 Stochastic Processes and their Applications 6 Abstract and Applied Analysis 6 Fractional Calculus & Applied Analysis 6 Journal of the European Mathematical Society (JEMS) 6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 6 Complex Variables and Elliptic Equations 6 Annals of PDE 5 Physics Letters. A 5 Inventiones Mathematicae 5 Mathematische Annalen 5 Numerische Mathematik 5 SIAM Journal on Numerical Analysis 5 Asymptotic Analysis 5 Journal of Dynamics and Differential Equations 5 Journal of Applied Mathematics 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 5 Science China. Mathematics 4 Monatshefte für Mathematik 4 Applied Numerical Mathematics 4 The Journal of Geometric Analysis 4 Potential Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Inequalities and Applications 4 Annals of Mathematics. Second Series 4 Communications in Contemporary Mathematics 4 Advanced Nonlinear Studies 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Analysis & PDE 3 Computers and Fluids 3 Communications on Pure and Applied Mathematics 3 Journal of Mathematical Biology 3 Applied Mathematics and Optimization 3 Journal of Computational and Applied Mathematics 3 Pacific Journal of Mathematics 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 SIAM Journal on Scientific Computing 3 Journal of Mathematical Sciences (New York) 3 Advances in Computational Mathematics 3 Acta Mathematica Sinica. English Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Multiscale Modeling & Simulation 3 Networks and Heterogeneous Media 3 Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 3 Journal of Elliptic and Parabolic Equations 2 Computer Methods in Applied Mechanics and Engineering 2 Journal d’Analyse Mathématique 2 Rocky Mountain Journal of Mathematics 2 Chaos, Solitons and Fractals 2 The Annals of Probability 2 Ricerche di Matematica 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society ...and 109 more Serials
all top 5

Cited in 43 Fields

 1,266 Partial differential equations (35-XX) 647 Fluid mechanics (76-XX) 112 Numerical analysis (65-XX) 108 Statistical mechanics, structure of matter (82-XX) 71 Probability theory and stochastic processes (60-XX) 67 Geophysics (86-XX) 58 Real functions (26-XX) 55 Biology and other natural sciences (92-XX) 52 Operator theory (47-XX) 42 Integral equations (45-XX) 29 Ordinary differential equations (34-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 24 Mechanics of deformable solids (74-XX) 24 Classical thermodynamics, heat transfer (80-XX) 23 Quantum theory (81-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 20 Functional analysis (46-XX) 19 Dynamical systems and ergodic theory (37-XX) 15 Systems theory; control (93-XX) 12 Differential geometry (53-XX) 11 Operations research, mathematical programming (90-XX) 10 Potential theory (31-XX) 9 Optics, electromagnetic theory (78-XX) 7 Astronomy and astrophysics (85-XX) 6 Mechanics of particles and systems (70-XX) 5 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX)

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