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## Vasseur, Alexis F.

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 Author ID: vasseur.alexis-f Published as: Vasseur, A.; Vasseur, Alexis; Vasseur, Alexis F. Homepage: http://www.ma.utexas.edu/users/vasseur/ External Links: MGP · Wikidata · dblp
 Documents Indexed: 92 Publications since 1996
all top 5

#### Co-Authors

 14 single-authored 9 Kang, Moon-Jin 8 Goudon, Thierry 7 Mellet, Antoine 6 Caffarelli, Luis Ángel 4 Choi, Kyudong 3 Berthelin, Florent 3 Chan, Chi Hin 3 Collet, Jean-François 3 Kwon, Young-Sam 3 Michoski, C. E. 3 Poupaud, Frédéric 3 Serre, Denis 3 Yu, Cheng 2 Allen, Mark G. 2 Caputo, M. Cristina 2 Ducomet, Bernard 2 Feireisl, Eduard 2 Martínez Gamba, Irene 2 Krupa, Sam G. 2 Leger, Nicholas 2 Nečasová, Šárka 2 Novack, Matthew D. 2 Perthame, Benoît 2 Schmitz, Phillip G. 2 Stokols, Logan F. 2 Wang, Yi 1 Baer, Eric 1 Besnard, D. C. 1 Bjorland, Clayton 1 Bostan, Mihai 1 Botchorishvili, Ramaz 1 Chainais-Hillairet, Claire 1 Ducros, Frédéric 1 Evans, James Arthur 1 Evans, John A. 1 Golse, François 1 Hariz, Sara 1 Horsin, Thierry 1 Imbert, Cyril 1 Jabin, Pierre-Emmanuel 1 Jüngel, Ansgar 1 Kreml, Ondřej 1 Lacroix-Violet, Ingrid 1 Loeper, Grégoire 1 Loreaux, Philippe 1 Merlet, Benoît 1 Mimouni, Stéphane 1 Mischler, Stéphane 1 Puel, Marjolaine 1 Thierry, Caroline 1 Tzavaras, Athanasios E. 1 Vishik, Misha M. 1 Wen, Huanyao 1 Yao, Lei
all top 5

#### Serials

 9 Archive for Rational Mechanics and Analysis 8 SIAM Journal on Mathematical Analysis 4 Communications in Mathematical Physics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Indiana University Mathematics Journal 3 Communications in Partial Differential Equations 3 Communications in Mathematical Sciences 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 Mathematical Fluid Mechanics 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 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Monatshefte für Mathematik 1 Chinese Annals of Mathematics. Series B 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 Journal of the European Mathematical Society (JEMS) 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

 85 Partial differential equations (35-XX) 47 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 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 Operator theory (47-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

82 Publications have been cited 1,685 times in 1,139 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
Strong traces for solutions of multidimensional scalar conservation laws. Zbl 0999.35018
Vasseur, Alexis
2001
Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations. Zbl 1155.35415
Mellet, A.; Vasseur, A.
2008
A parabolic problem with a fractional time derivative. Zbl 1338.35428
Allen, Mark; Caffarelli, Luis; Vasseur, Alexis
2016
Regularity theory for parabolic nonlinear integral operators. Zbl 1223.35098
Caffarelli, Luis; Chan, Chi Hin; Vasseur, Alexis
2011
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042
Mellet, A.; Vasseur, A.
2007
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
Equilibrium schemes for scalar conservation laws with stiff sources. Zbl 1017.65070
Botchorishvili, Ramaz; Perthame, Benoit; Vasseur, Alexis
2003
Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations. Zbl 1354.35115
Vasseur, Alexis F.; Yu, Cheng
2016
From kinetic equations to multidimensional isentropic gas dynamics before shocks. Zbl 1130.35090
Berthelin, F.; Vasseur, A.
2005
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
Regularity analysis for systems of reaction-diffusion equations. Zbl 1191.35202
Goudon, Thierry; Vasseur, Alexis
2010
Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations. Zbl 1198.35175
Chan, Chi Hin; Vasseur, Alexis
2007
Global weak solutions to the compressible quantum Navier-Stokes equations with damping. Zbl 1343.35189
Vasseur, Alexis F.; Yu, Cheng
2016
Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity. Zbl 1212.35354
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
Classical and quantum transport in random media. Zbl 1035.82037
Poupaud, Frédéric; 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; Vasseur, Alexis
2019
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
Strong traces for solutions to scalar conservation laws with general flux. Zbl 1121.35078
Kwon, Young-Sam; Vasseur, Alexis
2007
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
$$L^2$$-type contraction for systems of conservation laws. Zbl 1310.62079
Serre, Denis; Vasseur, Alexis F.
2014
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
Global weak solution to the viscous two-fluid model with finite energy. Zbl 1450.76033
Vasseur, Alexis; Wen, Huanyao; Yu, Cheng
2019
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
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
The Becker-Döring system and its Lifshitz-Slyozov limit. Zbl 1025.45005
Collet, Jean-François; Goudon, Thierry; Poupaud, Frédéric; Vasseur, Alexis
2002
Weak in space, log in time improvement of the Ladyženskaja-Prodi-Serrin criteria. Zbl 1270.35334
Bjorland, Clayton; Vasseur, Alexis
2011
$$L^{2}$$-contraction for shock waves of scalar viscous conservation laws. Zbl 1368.35183
Kang, Moon-Jin; Vasseur, Alexis F.
2017
Relative entropy and contraction for extremal shocks of conservation laws up to a shift. Zbl 1357.35219
Vasseur, Alexis F.
2016
New perspectives in fluid dynamics: mathematical analysis of a model proposed by Howard Brenner. Zbl 1221.35276
Feireisl, Eduard; Vasseur, Alexis
2010
Global weak solutions to the compressible quantum Navier-Stokes equation and its semi-classical limit. Zbl 1392.35228
Lacroix-Violet, Ingrid; Vasseur, Alexis
2018
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
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
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
Stability of the isentropic Riemann solutions of the full multidimensional Euler system. Zbl 1325.35148
Feireisl, E.; Kreml, O.; Vasseur, A.
2015
Well-posedness of scalar conservation laws with singular sources. Zbl 1084.35046
Vasseur, Alexis
2002
Kinetic semidiscretization of scalar conservation laws and convergence by using averaging lemmas. Zbl 0920.65060
Vasseur, Alexis
1998
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
The relative entropy method for the stability of intermediate shock waves; the rich case. Zbl 1347.35169
Serre, Denis; Vasseur, Alexis
2016
On spherically symmetric motions of a viscous compressible barotropic and selfgravitating gas. Zbl 1270.35338
Ducomet, Bernard; Nečasová, Šárka; Vasseur, Alexis
2011
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
Convergence of a semi-discrete kinetic scheme for the system of isentropic gas dynamics with $$\gamma=3$$. Zbl 1020.65054
Vasseur, Alexis
1999
Global weak solutions to the inviscid 3D quasi-geostrophic equation. Zbl 1328.35177
Puel, Marjolaine; Vasseur, Alexis F.
2015
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
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
Regularization in Keller-Segel type systems and the De Giorgi method. Zbl 1288.35146
Perthame, Benoît; Vasseur, Alexis
2012
The De Giorgi method for nonlocal fluid dynamics. Zbl 1357.35249
Caffarelli, Luis A.; Vasseur, Alexis
2012
Electric turbulence in a plasma subject to a strong magnetic field. Zbl 1080.35153
Loeper, G.; Vasseur, A.
2004
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
Asymptotic limit to a shock for BGK models using relative entropy method. Zbl 1316.35196
Kwon, Young-Sam; 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
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
The De Giorgi method for elliptic and parabolic equations and some applications. Zbl 1353.35096
Vasseur, Alexis F.
2016
Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations. Zbl 1297.76047
Choi, Kyudong; Vasseur, Alexis F.
2014
Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. Zbl 1236.82062
Bostan, Mihai; Gamba, Irene M.; Thierry; Vasseur, Alexis
2010
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
Study of a generalized fragmentation model for sprays. Zbl 1188.35134
Leger, Nicholas; Vasseur, Alexis F.
2009
A bound from below for the temperature in compressible Navier-Stokes equations. Zbl 1173.35100
Mellet, Antoine; Vasseur, Alexis
2009
$$L^p$$ estimates for quantities advected by a compressible flow. Zbl 1172.35056
Mellet, Antoine; Vasseur, Alexis
2009
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
On uniqueness of solutions to conservation laws verifying a single entropy condition. Zbl 1453.35122
Krupa, Sam G.; Vasseur, Alexis F.
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 a model for mixture flows: derivation, dissipation and stability properties. Zbl 1339.35319
Goudon, Thierry; Vasseur, Alexis
2016
A bound from below on the temperature for the Navier-Stokes-Fourier system. Zbl 1285.35075
Baer, Eric; Vasseur, Alexis
2013
Higher derivatives estimate for the 3D Navier-Stokes equation. Zbl 1396.35046
Vasseur, Alexis
2010
Existence and properties of semidiscrete shock profiles for the isentropic gas dynamic system with $$\gamma=3$$. Zbl 1002.76062
Vasseur, Alexis
2001
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
The inviscid three dimensional quasi-geostrophic system on bounded domains. Zbl 1435.35308
Novack, Matthew D.; Vasseur, Alexis F.
2020
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 rigorous derivation of the coupling of a kinetic equation and Burgers’ equation. Zbl 1256.35047
Vasseur, Alexis F.
2012
On the convergence of numerical schemes for the Boltzmann equation. Zbl 1038.82082
Horsin, T.; Mischler, S.; Vasseur, A.
2003
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
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
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
The inviscid three dimensional quasi-geostrophic system on bounded domains. Zbl 1435.35308
Novack, Matthew D.; 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; 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
On uniqueness of solutions to conservation laws verifying a single entropy condition. Zbl 1453.35122
Krupa, Sam G.; Vasseur, Alexis F.
2019
De Giorgi techniques applied to Hamilton-Jacobi equations with unbounded right-hand side. Zbl 1415.35095
Stokols, Logan F.; 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
The relative entropy method for the stability of intermediate shock waves; the rich case. Zbl 1347.35169
Serre, Denis; Vasseur, Alexis
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 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
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
Stability of the isentropic Riemann solutions of the full multidimensional Euler system. Zbl 1325.35148
Feireisl, E.; Kreml, O.; Vasseur, A.
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. 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
Regularization in Keller-Segel type systems and the De Giorgi method. Zbl 1288.35146
Perthame, Benoît; Vasseur, Alexis
2012
The De Giorgi method for nonlocal fluid dynamics. Zbl 1357.35249
Caffarelli, Luis A.; 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
Weak in space, log in time improvement of the Ladyženskaja-Prodi-Serrin criteria. Zbl 1270.35334
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
Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209
Gamba, Irene M.; Jüngel, Ansgar; 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 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
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
Study of a generalized fragmentation model for sprays. Zbl 1188.35134
Leger, Nicholas; Vasseur, Alexis F.
2009
A bound from below for the temperature in compressible Navier-Stokes equations. Zbl 1173.35100
Mellet, Antoine; Vasseur, Alexis
2009
$$L^p$$ estimates for quantities advected by a compressible flow. Zbl 1172.35056
Mellet, Antoine; Vasseur, Alexis
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 1,287 Authors

 49 Vasseur, Alexis F. 18 Goudon, Thierry 18 Mai Duc Thanh 16 Kang, Moon-Jin 15 Constantin, Peter 15 Jiu, Quansen 15 Lian, Ruxu 12 Guo, Zhenhua 12 Kwon, Young-Sam 12 Wang, Yi 11 Bresch, Didier 11 Caffarelli, Luis Ángel 11 Choi, Young-Pil 11 Ha, Seung-Yeal 11 Silvestre, Luis E. 11 Vazquez, Juan Luis 11 Vicol, Vlad C. 11 Zatorska, Ewelina 10 Feireisl, Eduard 10 Jin, Shi 10 Liu, Jianguo 10 Wang, Yanqing 9 Andreianov, Boris 9 Dong, Hongjie 9 Karlsen, Kenneth Hvistendahl 9 Pierre, Michel 9 Wen, Huanyao 9 Wu, Jiahong 9 Yang, Jianwei 9 Yao, Lei 9 Yu, Cheng 9 Zhu, Changjiang 8 Haspot, Boris 8 Perthame, Benoît 8 Tang, Bao Quoc 8 Trivisa, Konstantina 8 Xin, Zhouping 8 Xue, Liutang 8 Yu, Xinwei 7 Berthelin, Florent 7 Cuong, Dao Huy 7 Desvillettes, Laurent 7 Dong, Boqing 7 Fellner, Klemens 7 Gala, Sadek 7 Gosse, Laurent 7 Imbert, Cyril 7 Li, Hailiang 7 Michoski, C. E. 7 Novotný, Antonín 7 Rosini, Massimiliano Daniele 7 Sire, Yannick 6 Dai, Mimi 6 Friedlander, Susan Jean 6 Jabin, Pierre-Emmanuel 6 Jia, Yan 6 Li, Lei 6 Li, Yachun 6 Liu, Jian 6 Miao, Changxing 6 Nečasová, Šárka 6 Pokorný, Milan 6 Stinga, Pablo Raúl 6 Sun, Yongzhong 6 Tang, Tong 6 Wang, Dehua 6 Wang, Pengyan 6 Zhang, Zhifei 5 Alonso Rodríguez, Ana 5 Bal, Guillaume 5 Cañizo, José Alfredo 5 Carrillo de la Plata, José Antonio 5 de Pablo, Arturo 5 Desjardins, Benoît 5 Donadello, Carlotta 5 Dou, Changsheng 5 Fan, Jishan 5 Huang, Bingkang 5 Lee, Jihoon 5 Li, Dong 5 Mellet, Antoine 5 Morgan, Jeff J. 5 Mucha, Piotr Bogusław 5 Poupaud, Frédéric 5 Quirós Gracián, Fernando 5 Ryzhik, Lenya 5 Seguin, Nicolas 5 Shvydkoy, Roman V. 5 Soler, Juan S. 5 Valdinoci, Enrico 5 Wan, Renhui 5 Wu, Gang 5 Ye, Zhuan 5 Zhu, Shengguo 5 Zhu, Xiang-Chan 4 Antonelli, Paolo 4 Barrios Barrera, Begoña 4 Beirão da Veiga, Hugo 4 Bouchut, François 4 Camilli, Fabio ...and 1,187 more Authors
all top 5

#### Cited in 184 Serials

 98 Journal of Differential Equations 45 Archive for Rational Mechanics and Analysis 45 SIAM Journal on Mathematical Analysis 42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 40 Journal of Mathematical Analysis and Applications 39 Journal of Mathematical Fluid Mechanics 35 Journal of Mathematical Physics 32 Communications in Mathematical Physics 32 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 28 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 28 Discrete and Continuous Dynamical Systems 26 Journal de Mathématiques Pures et Appliquées. Neuvième Série 21 Journal of Computational Physics 20 Journal of Functional Analysis 17 Journal of Hyperbolic Differential Equations 16 Advances in Mathematics 16 Calculus of Variations and Partial Differential Equations 15 Nonlinearity 15 Applied Mathematics Letters 15 Nonlinear Analysis. Real World Applications 15 Discrete and Continuous Dynamical Systems. Series B 14 Mathematical Methods in the Applied Sciences 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Kinetic and Related Models 12 Applied Mathematics and Computation 12 Communications in Partial Differential Equations 12 Journal of Evolution Equations 12 Communications on Pure and Applied Analysis 10 Journal of Statistical Physics 9 Computers & Mathematics with Applications 9 Mathematics of Computation 9 Acta Applicandae Mathematicae 9 Journal of Scientific Computing 8 Applicable Analysis 8 Physica D 8 Acta Mathematicae Applicatae Sinica. English Series 8 Boundary Value Problems 8 Discrete and Continuous Dynamical Systems. Series S 7 Proceedings of the American Mathematical Society 7 Journal of Nonlinear Science 6 Transactions of the American Mathematical Society 6 Stochastic Processes and their Applications 6 NoDEA. Nonlinear Differential Equations and Applications 6 Abstract and Applied Analysis 6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Mathematische Annalen 5 Numerische Mathematik 5 Quarterly of Applied Mathematics 5 SIAM Journal on Numerical Analysis 5 Chinese Annals of Mathematics. Series B 5 Journal of the European Mathematical Society (JEMS) 5 Journal of Applied Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Complex Variables and Elliptic Equations 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Inventiones Mathematicae 4 Monatshefte für Mathematik 4 Journal of Dynamics and Differential Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Fractional Calculus & Applied Analysis 4 Annals of Mathematics. Second Series 4 Communications in Contemporary Mathematics 4 Advanced Nonlinear Studies 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Analysis & PDE 4 Advances in Nonlinear Analysis 4 Annals of PDE 3 Computers and Fluids 3 Communications on Pure and Applied Mathematics 3 Journal of Computational and Applied Mathematics 3 Pacific Journal of Mathematics 3 Applied Numerical Mathematics 3 Asymptotic Analysis 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Potential Analysis 3 SIAM Journal on Scientific Computing 3 Journal of Mathematical Sciences (New York) 3 Journal of Inequalities and Applications 3 Acta Mathematica Sinica. English Series 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Multiscale Modeling & Simulation 3 Networks and Heterogeneous Media 3 Science China. Mathematics 3 Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Computer Methods in Applied Mechanics and Engineering 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Biology 2 Physics Letters. A 2 The Annals of Probability 2 Revista Matemática Iberoamericana 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 Bulletin des Sciences Mathématiques 2 Advances in Computational Mathematics 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Frontiers of Mathematics in China ...and 84 more Serials
all top 5

#### Cited in 42 Fields

 1,050 Partial differential equations (35-XX) 551 Fluid mechanics (76-XX) 100 Numerical analysis (65-XX) 85 Statistical mechanics, structure of matter (82-XX) 59 Probability theory and stochastic processes (60-XX) 59 Geophysics (86-XX) 46 Biology and other natural sciences (92-XX) 44 Operator theory (47-XX) 43 Real functions (26-XX) 36 Integral equations (45-XX) 29 Ordinary differential equations (34-XX) 20 Classical thermodynamics, heat transfer (80-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 19 Mechanics of deformable solids (74-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 15 Functional analysis (46-XX) 15 Quantum theory (81-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Systems theory; control (93-XX) 11 Differential geometry (53-XX) 10 Operations research, mathematical programming (90-XX) 9 Potential theory (31-XX) 6 Mechanics of particles and systems (70-XX) 6 Optics, electromagnetic theory (78-XX) 6 Astronomy and astrophysics (85-XX) 5 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX)

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