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Author ID: vasseur.alexis-f Recent zbMATH articles by "Vasseur, Alexis F."
Published as: Vasseur, Alexis F.; Vasseur, Alexis; Vasseur, A.
Homepage: http://www.ma.utexas.edu/users/vasseur/
External Links: MGP · Wikidata · dblp · IdRef · theses.fr
all top 5

Serials

11 Archive for Rational Mechanics and Analysis
9 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 Journal of Differential Equations
3 Communications in Partial Differential Equations
3 Journal of Mathematical Fluid Mechanics
3 Journal of Hyperbolic Differential Equations
2 Journal of Computational Physics
2 Journal of Statistical Physics
2 Advances in Mathematics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Inventiones Mathematicae
2 SIAM Journal on Numerical Analysis
2 Asymptotic Analysis
2 Methods and Applications of Analysis
2 Journal of the European Mathematical Society (JEMS)
1 Journal of Mathematical Analysis and Applications
1 Nonlinearity
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Monatshefte für Mathematik
1 Quarterly of Applied Mathematics
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

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 2,773 times in 1,790 Documents Cited by Year
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. Zbl 1204.35063
Caffarelli, Luis A.; Vasseur, Alexis
505
2010
On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070
Mellet, A.; Vasseur, A.
147
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
110
2004
Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations. Zbl 1155.35415
Mellet, A.; Vasseur, A.
108
2008
Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations. Zbl 1141.76054
Mellet, A.; Vasseur, A.
105
2008
A parabolic problem with a fractional time derivative. Zbl 1338.35428
Allen, Mark; Caffarelli, Luis; Vasseur, Alexis
103
2016
Strong traces for solutions of multidimensional scalar conservation laws. Zbl 0999.35018
Vasseur, Alexis
98
2001
Regularity theory for parabolic nonlinear integral operators. Zbl 1223.35098
Caffarelli, Luis; Chan, Chi Hin; Vasseur, Alexis
96
2011
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042
Mellet, A.; Vasseur, A.
95
2007
Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations. Zbl 1354.35115
Vasseur, Alexis F.; Yu, Cheng
80
2016
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
74
2019
A new proof of partial regularity of solutions to Navier-Stokes equations. Zbl 1142.35066
Vasseur, Alexis F.
73
2007
Equilibrium schemes for scalar conservation laws with stiff sources. Zbl 1017.65070
Botchorishvili, Ramaz; Perthame, Benoit; Vasseur, Alexis
53
2003
Global weak solution to the viscous two-fluid model with finite energy. Zbl 1450.76033
Vasseur, Alexis; Wen, Huanyao; Yu, Cheng
49
2019
Global weak solutions to the compressible quantum Navier-Stokes equations with damping. Zbl 1343.35189
Vasseur, Alexis F.; Yu, Cheng
45
2016
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
41
2011
From kinetic equations to multidimensional isentropic gas dynamics before shocks. Zbl 1130.35090
Berthelin, F.; Vasseur, A.
36
2005
Regularity analysis for systems of reaction-diffusion equations. Zbl 1191.35202
Goudon, Thierry; Vasseur, Alexis
34
2010
Global weak solutions to the compressible quantum Navier-Stokes equation and its semi-classical limit. Zbl 1392.35228
Lacroix-Violet, Ingrid; Vasseur, Alexis
33
2018
Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations. Zbl 1198.35175
Chan, Chi Hin; Vasseur, Alexis
29
2007
Strong traces for solutions to scalar conservation laws with general flux. Zbl 1121.35078
Kwon, Young-Sam; Vasseur, Alexis
26
2007
Asymptotic analysis of Vlasov-type equations under strong local alignment regime. Zbl 1331.35345
Kang, Moon-Jin; Vasseur, Alexis F.
26
2015
Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity. Zbl 1212.35354
Vasseur, Alexis
26
2009
Recent results on hydrodynamic limits. Zbl 1185.35003
Vasseur, Alexis F.
25
2008
Classical and quantum transport in random media. Zbl 1035.82037
Poupaud, Frédéric; Vasseur, Alexis
24
2003
Porous medium flow with both a fractional potential pressure and fractional time derivative. Zbl 1372.35328
Allen, Mark; Caffarelli, Luis; Vasseur, Alexis
24
2017
Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209
Gamba, Irene M.; Jüngel, Ansgar; Vasseur, Alexis
23
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.
23
2014
New perspectives in fluid dynamics: mathematical analysis of a model proposed by Howard Brenner. Zbl 1221.35276
Feireisl, Eduard; Vasseur, Alexis
23
2010
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.
22
2019
Global regularity of solutions to systems of reaction-diffusion with sub-quadratic growth in any dimension. Zbl 1181.35295
Caputo, M. Cristina; Vasseur, Alexis
21
2009
From discrete velocity Boltzmann equations to gas dynamics before shocks. Zbl 1168.82322
Berthelin, Florent; Tzavaras, Athanasios E.; Vasseur, Alexis
19
2009
\(L^{2}\)-contraction for shock waves of scalar viscous conservation laws. Zbl 1368.35183
Kang, Moon-Jin; Vasseur, Alexis F.
19
2017
Criteria on contractions for entropic discontinuities of systems of conservation laws. Zbl 1354.35077
Kang, Moon-Jin; Vasseur, Alexis F.
19
2016
Stability of the isentropic Riemann solutions of the full multidimensional Euler system. Zbl 1325.35148
Feireisl, E.; Kreml, O.; Vasseur, A.
19
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.
18
2010
Relative entropy and contraction for extremal shocks of conservation laws up to a shift. Zbl 1357.35219
Vasseur, Alexis F.
18
2016
Short-time stability of scalar viscous shocks in the inviscid limit by the relative entropy method. Zbl 1316.35195
Choi, Kyudong; Vasseur, Alexis F.
18
2015
The Becker-Döring system and its Lifshitz-Slyozov limit. Zbl 1025.45005
Collet, Jean-François; Goudon, Thierry; Poupaud, Frédéric; Vasseur, Alexis
18
2002
Time regularity for the system of isentropic gas dynamics with \(\gamma=3\). Zbl 0940.35169
Vasseur, A.
17
1999
About the relative entropy method for hyperbolic systems of conservation laws. Zbl 1355.35138
Serre, Denis; Vasseur, Alexis F.
17
2016
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.
16
2020
Well-posedness of scalar conservation laws with singular sources. Zbl 1084.35046
Vasseur, Alexis
15
2002
\(L^2\)-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws. Zbl 1417.35129
Kang, Moon-Jin; Vasseur, Alexis F.; Wang, Yi
15
2019
On spherically symmetric motions of a viscous compressible barotropic and selfgravitating gas. Zbl 1270.35338
Ducomet, Bernard; Nečasová, Šárka; Vasseur, Alexis
15
2011
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
14
2015
Weak in space, log in time improvement of the Ladyženskaja-Prodi-Serrin criteria. Zbl 1270.35334
Bjorland, Clayton; Vasseur, Alexis
14
2011
Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations. Zbl 1297.76047
Choi, Kyudong; Vasseur, Alexis F.
12
2014
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
12
2016
On global motions of a compressible barotropic and self-gravitating gas with density-dependent viscosities. Zbl 1244.76105
Ducomet, Bernard; Nečasová, Šárka; Vasseur, Alexis
12
2010
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.
12
2021
The relative entropy method for the stability of intermediate shock waves; the rich case. Zbl 1347.35169
Serre, Denis; Vasseur, Alexis
11
2016
The De Giorgi method for elliptic and parabolic equations and some applications. Zbl 1353.35096
Vasseur, Alexis F.
11
2016
Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics. Zbl 1496.35293
Chen, Robin Ming; Vasseur, Alexis F.; Yu, Cheng
11
2021
On uniqueness of solutions to conservation laws verifying a single entropy condition. Zbl 1453.35122
Krupa, Sam G.; Vasseur, Alexis F.
11
2019
Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system. Zbl 1460.76614
Kang, Moon-Jin; Vasseur, Alexis F.
10
2021
Regularization in Keller-Segel type systems and the De Giorgi method. Zbl 1288.35146
Perthame, Benoît; Vasseur, Alexis
10
2012
Convergence of a semi-discrete kinetic scheme for the system of isentropic gas dynamics with \(\gamma=3\). Zbl 1020.65054
Vasseur, Alexis
9
1999
Global existence of entropy-weak solutions to the compressible Navier-Stokes equations with non-linear density dependent viscosities. Zbl 1490.35299
Bresch, Didier; Vasseur, Alexis F.; Yu, Cheng
9
2022
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.
9
2020
Higher derivatives estimate for the 3D Navier-Stokes equation. Zbl 1396.35046
Vasseur, Alexis
9
2010
A discontinuous Galerkin method for viscous compressible multifluids. Zbl 1303.76088
Michoski, C.; Evans, J. A.; Schmitz, P. G.; Vasseur, A.
8
2010
Kinetic semidiscretization of scalar conservation laws and convergence by using averaging lemmas. Zbl 0920.65060
Vasseur, Alexis
8
1998
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.
8
2009
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.
8
2020
Hölder regularity up to the boundary for critical SQG on bounded domains. Zbl 1439.35480
Stokols, Logan F.; Vasseur, Alexis F.
8
2020
Global in time classical solutions to the 3D quasi-geostrophic system for large initial data. Zbl 1417.35137
Novack, Matthew D.; Vasseur, Alexis F.
7
2018
Global weak solutions to the inviscid 3D quasi-geostrophic equation. Zbl 1328.35177
Puel, Marjolaine; Vasseur, Alexis F.
7
2015
Some remarks on large-time asymptotic of the Lifshitz-Slyozov equations. Zbl 1067.82046
Collet, Jean-François; Goudon, Thierry; Vasseur, Alexis
7
2002
Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. Zbl 1236.82062
Bostan, Mihai; Gamba, Irene M.; Thierry; Vasseur, Alexis
6
2010
Electric turbulence in a plasma subject to a strong magnetic field. Zbl 1080.35153
Loeper, G.; Vasseur, A.
6
2004
De Giorgi techniques applied to Hamilton-Jacobi equations with unbounded right-hand side. Zbl 1415.35095
Stokols, Logan F.; Vasseur, Alexis F.
6
2019
Blow-up solutions to 3D Euler are hydrodynamically unstable. Zbl 1446.35114
Vasseur, Alexis F.; Vishik, Misha
6
2020
The De Giorgi method for nonlocal fluid dynamics. Zbl 1357.35249
Caffarelli, Luis A.; Vasseur, Alexis
6
2012
Partial regularity in time for the space-homogeneous Landau equation with Coulomb potential. Zbl 1503.35123
Golse, François; Gualdani, Maria Pia; Imbert, Cyril; Vasseur, Alexis
6
2022
Well-posedness of the Riemann problem with two shocks for the isentropic Euler system in a class of vanishing physical viscosity limits. Zbl 1506.76150
Kang, Moon-Jin; Vasseur, Alexis F.
6
2022
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.
6
2020
\(L^p\) estimates for quantities advected by a compressible flow. Zbl 1172.35056
Mellet, Antoine; Vasseur, Alexis
5
2009
A bound from below for the temperature in compressible Navier-Stokes equations. Zbl 1173.35100
Mellet, Antoine; Vasseur, Alexis
5
2009
Asymptotic limit to a shock for BGK models using relative entropy method. Zbl 1316.35196
Kwon, Young-Sam; Vasseur, Alexis F.
5
2015
Uniqueness of a planar contact discontinuity for 3D compressible Euler system in a class of zero dissipation limits from Navier-Stokes-Fourier system. Zbl 07356550
Kang, Moon-Jin; Vasseur, Alexis F.; Wang, Yi
5
2021
Uniqueness and weak-BV stability for \(2\times 2\) conservation laws. Zbl 1505.35265
Chen, Geng; Krupa, Sam G.; Vasseur, Alexis F.
5
2022
Second derivatives estimate of suitable solutions to the 3D Navier-Stokes equations. Zbl 1473.35414
Vasseur, Alexis; Yang, Jincheng
5
2021
Study of a generalized fragmentation model for sprays. Zbl 1188.35134
Leger, Nicholas; Vasseur, Alexis F.
4
2009
On a model for mixture flows: derivation, dissipation and stability properties. Zbl 1339.35319
Goudon, Thierry; Vasseur, Alexis
4
2016
De Giorgi techniques applied to the Hölder regularity of solutions to Hamilton-Jacobi equations. Zbl 1390.35048
Chan, Chi Hin; Vasseur, Alexis
3
2017
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.
3
2009
On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term. Zbl 1503.35151
Bresch, D.; Gisclon, M.; Lacroix-Violet, I.; Vasseur, A.
3
2022
A bound from below on the temperature for the Navier-Stokes-Fourier system. Zbl 1285.35075
Baer, Eric; Vasseur, Alexis
3
2013
A rigorous derivation of the coupling of a kinetic equation and Burgers’ equation. Zbl 1256.35047
Vasseur, Alexis F.
3
2012
Inviscid limit to the shock waves for the fractal Burgers equation. Zbl 1462.35200
Akopian, Sona; Kang, Moon-Jin; Vasseur, Alexis
3
2020
The inviscid three dimensional quasi-geostrophic system on bounded domains. Zbl 1435.35308
Novack, Matthew D.; Vasseur, Alexis F.
3
2020
Existence and properties of semidiscrete shock profiles for the isentropic gas dynamic system with \(\gamma=3\). Zbl 1002.76062
Vasseur, Alexis
2
2001
Classical solutions for the 3D quasi-geostrophic system on a bounded domain. Zbl 1507.35157
Novack, Matthew D.; Vasseur, Alexis F.
2
2020
Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations. Zbl 1512.35442
Kang, Moon-Jin; Vasseur, Alexis F.; Wang, Yi
2
2023
Positive lower bound for the numerical solution of a convection-diffusion equation. Zbl 1372.65291
Chainais-Hillairet, Claire; Merlet, Benoît; Vasseur, Alexis F.
1
2017
On the convergence of numerical schemes for the Boltzmann equation. Zbl 1038.82082
Horsin, T.; Mischler, S.; Vasseur, A.
1
2003
Instability for axisymmetric blow-up solutions to incompressible Euler equations. Zbl 1484.76016
Lafleche, Laurent; Vasseur, Alexis F.; Vishik, Misha
1
2021
Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations. Zbl 1512.35442
Kang, Moon-Jin; Vasseur, Alexis F.; Wang, Yi
2
2023
Global existence of entropy-weak solutions to the compressible Navier-Stokes equations with non-linear density dependent viscosities. Zbl 1490.35299
Bresch, Didier; Vasseur, Alexis F.; Yu, Cheng
9
2022
Partial regularity in time for the space-homogeneous Landau equation with Coulomb potential. Zbl 1503.35123
Golse, François; Gualdani, Maria Pia; Imbert, Cyril; Vasseur, Alexis
6
2022
Well-posedness of the Riemann problem with two shocks for the isentropic Euler system in a class of vanishing physical viscosity limits. Zbl 1506.76150
Kang, Moon-Jin; Vasseur, Alexis F.
6
2022
Uniqueness and weak-BV stability for \(2\times 2\) conservation laws. Zbl 1505.35265
Chen, Geng; Krupa, Sam G.; Vasseur, Alexis F.
5
2022
On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term. Zbl 1503.35151
Bresch, D.; Gisclon, M.; Lacroix-Violet, I.; Vasseur, A.
3
2022
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.
12
2021
Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics. Zbl 1496.35293
Chen, Robin Ming; Vasseur, Alexis F.; Yu, Cheng
11
2021
Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system. Zbl 1460.76614
Kang, Moon-Jin; Vasseur, Alexis F.
10
2021
Uniqueness of a planar contact discontinuity for 3D compressible Euler system in a class of zero dissipation limits from Navier-Stokes-Fourier system. Zbl 07356550
Kang, Moon-Jin; Vasseur, Alexis F.; Wang, Yi
5
2021
Second derivatives estimate of suitable solutions to the 3D Navier-Stokes equations. Zbl 1473.35414
Vasseur, Alexis; Yang, Jincheng
5
2021
Instability for axisymmetric blow-up solutions to incompressible Euler equations. Zbl 1484.76016
Lafleche, Laurent; Vasseur, Alexis F.; Vishik, Misha
1
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.
16
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.
9
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.
8
2020
Hölder regularity up to the boundary for critical SQG on bounded domains. Zbl 1439.35480
Stokols, Logan F.; Vasseur, Alexis F.
8
2020
Blow-up solutions to 3D Euler are hydrodynamically unstable. Zbl 1446.35114
Vasseur, Alexis F.; Vishik, Misha
6
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.
6
2020
Inviscid limit to the shock waves for the fractal Burgers equation. Zbl 1462.35200
Akopian, Sona; Kang, Moon-Jin; Vasseur, Alexis
3
2020
The inviscid three dimensional quasi-geostrophic system on bounded domains. Zbl 1435.35308
Novack, Matthew D.; Vasseur, Alexis F.
3
2020
Classical solutions for the 3D quasi-geostrophic system on a bounded domain. Zbl 1507.35157
Novack, Matthew D.; Vasseur, Alexis F.
2
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
74
2019
Global weak solution to the viscous two-fluid model with finite energy. Zbl 1450.76033
Vasseur, Alexis; Wen, Huanyao; Yu, Cheng
49
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.
22
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
15
2019
On uniqueness of solutions to conservation laws verifying a single entropy condition. Zbl 1453.35122
Krupa, Sam G.; Vasseur, Alexis F.
11
2019
De Giorgi techniques applied to Hamilton-Jacobi equations with unbounded right-hand side. Zbl 1415.35095
Stokols, Logan F.; Vasseur, Alexis F.
6
2019
Global weak solutions to the compressible quantum Navier-Stokes equation and its semi-classical limit. Zbl 1392.35228
Lacroix-Violet, Ingrid; Vasseur, Alexis
33
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.
7
2018
Porous medium flow with both a fractional potential pressure and fractional time derivative. Zbl 1372.35328
Allen, Mark; Caffarelli, Luis; Vasseur, Alexis
24
2017
\(L^{2}\)-contraction for shock waves of scalar viscous conservation laws. Zbl 1368.35183
Kang, Moon-Jin; Vasseur, Alexis F.
19
2017
De Giorgi techniques applied to the Hölder regularity of solutions to Hamilton-Jacobi equations. Zbl 1390.35048
Chan, Chi Hin; Vasseur, Alexis
3
2017
Positive lower bound for the numerical solution of a convection-diffusion equation. Zbl 1372.65291
Chainais-Hillairet, Claire; Merlet, Benoît; Vasseur, Alexis F.
1
2017
A parabolic problem with a fractional time derivative. Zbl 1338.35428
Allen, Mark; Caffarelli, Luis; Vasseur, Alexis
103
2016
Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations. Zbl 1354.35115
Vasseur, Alexis F.; Yu, Cheng
80
2016
Global weak solutions to the compressible quantum Navier-Stokes equations with damping. Zbl 1343.35189
Vasseur, Alexis F.; Yu, Cheng
45
2016
Criteria on contractions for entropic discontinuities of systems of conservation laws. Zbl 1354.35077
Kang, Moon-Jin; Vasseur, Alexis F.
19
2016
Relative entropy and contraction for extremal shocks of conservation laws up to a shift. Zbl 1357.35219
Vasseur, Alexis F.
18
2016
About the relative entropy method for hyperbolic systems of conservation laws. Zbl 1355.35138
Serre, Denis; Vasseur, Alexis F.
17
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
12
2016
The relative entropy method for the stability of intermediate shock waves; the rich case. Zbl 1347.35169
Serre, Denis; Vasseur, Alexis
11
2016
The De Giorgi method for elliptic and parabolic equations and some applications. Zbl 1353.35096
Vasseur, Alexis F.
11
2016
On a model for mixture flows: derivation, dissipation and stability properties. Zbl 1339.35319
Goudon, Thierry; Vasseur, Alexis
4
2016
Asymptotic analysis of Vlasov-type equations under strong local alignment regime. Zbl 1331.35345
Kang, Moon-Jin; Vasseur, Alexis F.
26
2015
Stability of the isentropic Riemann solutions of the full multidimensional Euler system. Zbl 1325.35148
Feireisl, E.; Kreml, O.; Vasseur, A.
19
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.
18
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
14
2015
Global weak solutions to the inviscid 3D quasi-geostrophic equation. Zbl 1328.35177
Puel, Marjolaine; Vasseur, Alexis F.
7
2015
Asymptotic limit to a shock for BGK models using relative entropy method. Zbl 1316.35196
Kwon, Young-Sam; Vasseur, Alexis F.
5
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.
23
2014
Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations. Zbl 1297.76047
Choi, Kyudong; Vasseur, Alexis F.
12
2014
A bound from below on the temperature for the Navier-Stokes-Fourier system. Zbl 1285.35075
Baer, Eric; Vasseur, Alexis
3
2013
Regularization in Keller-Segel type systems and the De Giorgi method. Zbl 1288.35146
Perthame, Benoît; Vasseur, Alexis
10
2012
The De Giorgi method for nonlocal fluid dynamics. Zbl 1357.35249
Caffarelli, Luis A.; Vasseur, Alexis
6
2012
A rigorous derivation of the coupling of a kinetic equation and Burgers’ equation. Zbl 1256.35047
Vasseur, Alexis F.
3
2012
Regularity theory for parabolic nonlinear integral operators. Zbl 1223.35098
Caffarelli, Luis; Chan, Chi Hin; Vasseur, Alexis
96
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
41
2011
On spherically symmetric motions of a viscous compressible barotropic and selfgravitating gas. Zbl 1270.35338
Ducomet, Bernard; Nečasová, Šárka; Vasseur, Alexis
15
2011
Weak in space, log in time improvement of the Ladyženskaja-Prodi-Serrin criteria. Zbl 1270.35334
Bjorland, Clayton; Vasseur, Alexis
14
2011
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. Zbl 1204.35063
Caffarelli, Luis A.; Vasseur, Alexis
505
2010
Regularity analysis for systems of reaction-diffusion equations. Zbl 1191.35202
Goudon, Thierry; Vasseur, Alexis
34
2010
New perspectives in fluid dynamics: mathematical analysis of a model proposed by Howard Brenner. Zbl 1221.35276
Feireisl, Eduard; Vasseur, Alexis
23
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.
18
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
12
2010
Higher derivatives estimate for the 3D Navier-Stokes equation. Zbl 1396.35046
Vasseur, Alexis
9
2010
A discontinuous Galerkin method for viscous compressible multifluids. Zbl 1303.76088
Michoski, C.; Evans, J. A.; Schmitz, P. G.; Vasseur, A.
8
2010
Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. Zbl 1236.82062
Bostan, Mihai; Gamba, Irene M.; Thierry; Vasseur, Alexis
6
2010
Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity. Zbl 1212.35354
Vasseur, Alexis
26
2009
Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209
Gamba, Irene M.; Jüngel, Ansgar; Vasseur, Alexis
23
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
21
2009
From discrete velocity Boltzmann equations to gas dynamics before shocks. Zbl 1168.82322
Berthelin, Florent; Tzavaras, Athanasios E.; Vasseur, Alexis
19
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.
8
2009
\(L^p\) estimates for quantities advected by a compressible flow. Zbl 1172.35056
Mellet, Antoine; Vasseur, Alexis
5
2009
A bound from below for the temperature in compressible Navier-Stokes equations. Zbl 1173.35100
Mellet, Antoine; Vasseur, Alexis
5
2009
Study of a generalized fragmentation model for sprays. Zbl 1188.35134
Leger, Nicholas; Vasseur, Alexis F.
4
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.
3
2009
Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations. Zbl 1155.35415
Mellet, A.; Vasseur, A.
108
2008
Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations. Zbl 1141.76054
Mellet, A.; Vasseur, A.
105
2008
Recent results on hydrodynamic limits. Zbl 1185.35003
Vasseur, Alexis F.
25
2008
On the barotropic compressible Navier-Stokes equations. Zbl 1149.35070
Mellet, A.; Vasseur, A.
147
2007
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042
Mellet, A.; Vasseur, A.
95
2007
A new proof of partial regularity of solutions to Navier-Stokes equations. Zbl 1142.35066
Vasseur, Alexis F.
73
2007
Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations. Zbl 1198.35175
Chan, Chi Hin; Vasseur, Alexis
29
2007
Strong traces for solutions to scalar conservation laws with general flux. Zbl 1121.35078
Kwon, Young-Sam; Vasseur, Alexis
26
2007
From kinetic equations to multidimensional isentropic gas dynamics before shocks. Zbl 1130.35090
Berthelin, F.; Vasseur, A.
36
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
110
2004
Electric turbulence in a plasma subject to a strong magnetic field. Zbl 1080.35153
Loeper, G.; Vasseur, A.
6
2004
Equilibrium schemes for scalar conservation laws with stiff sources. Zbl 1017.65070
Botchorishvili, Ramaz; Perthame, Benoit; Vasseur, Alexis
53
2003
Classical and quantum transport in random media. Zbl 1035.82037
Poupaud, Frédéric; Vasseur, Alexis
24
2003
On the convergence of numerical schemes for the Boltzmann equation. Zbl 1038.82082
Horsin, T.; Mischler, S.; Vasseur, A.
1
2003
The Becker-Döring system and its Lifshitz-Slyozov limit. Zbl 1025.45005
Collet, Jean-François; Goudon, Thierry; Poupaud, Frédéric; Vasseur, Alexis
18
2002
Well-posedness of scalar conservation laws with singular sources. Zbl 1084.35046
Vasseur, Alexis
15
2002
Some remarks on large-time asymptotic of the Lifshitz-Slyozov equations. Zbl 1067.82046
Collet, Jean-François; Goudon, Thierry; Vasseur, Alexis
7
2002
Strong traces for solutions of multidimensional scalar conservation laws. Zbl 0999.35018
Vasseur, Alexis
98
2001
Existence and properties of semidiscrete shock profiles for the isentropic gas dynamic system with \(\gamma=3\). Zbl 1002.76062
Vasseur, Alexis
2
2001
Time regularity for the system of isentropic gas dynamics with \(\gamma=3\). Zbl 0940.35169
Vasseur, A.
17
1999
Convergence of a semi-discrete kinetic scheme for the system of isentropic gas dynamics with \(\gamma=3\). Zbl 1020.65054
Vasseur, Alexis
9
1999
Kinetic semidiscretization of scalar conservation laws and convergence by using averaging lemmas. Zbl 0920.65060
Vasseur, Alexis
8
1998
all top 5

Cited by 1,863 Authors

64 Vasseur, Alexis F.
23 Mai Duc Thanh
21 Goudon, Thierry
20 Choi, Young-Pil
20 Kang, Moon-Jin
17 Jiu, Quansen
17 Wang, Yi
16 Kwon, Young-Sam
16 Wang, Yanqing
15 Bresch, Didier
15 Lian, Ruxu
15 Zatorska, Ewelina
15 Zhu, Changjiang
14 Dong, Hongjie
14 Guo, Zhenhua
14 Li, Hailiang
14 Silvestre, Luis E.
14 Yao, Lei
13 Caffarelli, Luis Ángel
13 Constantin, Peter
13 Tang, Bao Quoc
13 Zhu, Shengguo
12 Andreianov, Boris
12 Feireisl, Eduard
12 Imbert, Cyril
12 Novotný, Antonín
12 Wen, Huanyao
11 Ha, Seung-Yeal
11 Liu, Jianguo
11 Peng, Shaolong
11 Trivisa, Konstantina
11 Vazquez, Juan Luis
11 Vicol, Vlad C.
11 Xin, Zhouping
11 Yu, Cheng
10 Cuong, Dao Huy
10 Haspot, Boris
10 Jin, Shi
10 Li, Yachun
10 Pierre, Michel
10 Xue, Liutang
9 Karlsen, Kenneth Hvistendahl
9 Kuznetsov, Ivan V.
9 Nečasová, Šárka
9 Yang, Jianwei
8 Antonelli, Paolo
8 Berthelin, Florent
8 Chen, Gui-Qiang G.
8 Dai, Wei
8 Fellner, Klemens
8 Gala, Sadek
8 Jung, Jinwook
8 Kim, Jeongho
8 Li, Fucai
8 Perthame, Benoît
8 Pokorný, Milan
8 Rosini, Massimiliano Daniele
8 Sire, Yannick
8 Spirito, Stefano
8 Tang, Tong
8 Wang, Dehua
8 Wang, Pengyan
8 Ye, Yulin
7 Anceschi, Francesca
7 Desvillettes, Laurent
7 Dong, Boqing
7 Friedlander, Susan Jean
7 Gosse, Laurent
7 Hong, GuangYi
7 Jabin, Pierre-Emmanuel
7 Kang, Kyungkeun
7 Li, Lei
7 Li, Zilai
7 Morgan, Jeff J.
7 Quirós Gracián, Fernando
7 Ryzhik, Lenya
7 Sazhenkov, Sergey Alexandrovich
7 Seguin, Nicolas
7 Stinga, Pablo Raúl
7 Sun, Yongzhong
7 Yu, Xinwei
7 Zhang, Yinghui
6 Burtea, Cosmin
6 Byun, Sun-Sig
6 Carrillo de la Plata, José Antonio
6 Chaker, Jamil
6 Chen, Wenxiong
6 Choi, Kyudong
6 Dai, Mimi
6 Desjardins, Benoît
6 Guo, Boling
6 Jia, Yan
6 Kukavica, Igor
6 Li, Yang
6 Li, Yue
6 Liu, Jian
6 Miao, Changxing
6 Molina, Mario I.
6 Mucha, Piotr Bogusław
6 Novack, Matthew D.
...and 1,763 more Authors
all top 5

Cited in 257 Serials

140 Journal of Differential Equations
73 SIAM Journal on Mathematical Analysis
71 Archive for Rational Mechanics and Analysis
60 Journal of Mathematical Fluid Mechanics
51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
47 Journal of Mathematical Physics
46 Journal of Mathematical Analysis and Applications
41 Communications in Mathematical Physics
40 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
36 Journal of Functional Analysis
36 Discrete and Continuous Dynamical Systems
35 Journal de Mathématiques Pures et Appliquées. Neuvième Série
34 Journal of Evolution Equations
31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
30 Nonlinearity
28 Journal of Computational Physics
28 Nonlinear Analysis. Real World Applications
27 ZAMP. Zeitschrift für angewandte Mathematik und Physik
27 Communications on Pure and Applied Analysis
25 Advances in Mathematics
25 Calculus of Variations and Partial Differential Equations
25 Discrete and Continuous Dynamical Systems. Series B
24 Mathematical Methods in the Applied Sciences
23 Journal of Hyperbolic Differential Equations
20 Applied Mathematics Letters
20 Kinetic and Related Models
16 Communications in Partial Differential Equations
15 Journal of Statistical Physics
14 Acta Mathematica Scientia. Series B. (English Edition)
13 Applied Mathematics and Computation
12 Quarterly of Applied Mathematics
12 Boundary Value Problems
11 Computers & Mathematics with Applications
11 Journal of Scientific Computing
11 Journal of Nonlinear Science
11 NoDEA. Nonlinear Differential Equations and Applications
11 Discrete and Continuous Dynamical Systems. Series S
11 Analysis & PDE
11 Science China. Mathematics
10 Applicable Analysis
10 Mathematics of Computation
10 Transactions of the American Mathematical Society
10 Physica D
10 Complex Variables and Elliptic Equations
9 Mathematische Annalen
9 Proceedings of the American Mathematical Society
9 Acta Applicandae Mathematicae
9 Acta Mathematicae Applicatae Sinica. English Series
8 Asymptotic Analysis
8 Stochastic Processes and their Applications
8 Fractional Calculus & Applied Analysis
8 Advances in Nonlinear Analysis
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 SIAM Journal on Applied Mathematics
7 Journal of the European Mathematical Society (JEMS)
7 Communications in Contemporary Mathematics
7 Annals of PDE
7 Journal of Elliptic and Parabolic Equations
6 Physics Letters. A
6 Inventiones Mathematicae
6 Chinese Annals of Mathematics. Series B
6 Journal of Dynamics and Differential Equations
6 Potential Analysis
6 Abstract and Applied Analysis
6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Electronic Research Archive
5 Numerische Mathematik
5 SIAM Journal on Numerical Analysis
5 Applied Numerical Mathematics
5 The Journal of Geometric Analysis
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Journal of Applied Mathematics
5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
4 Communications on Pure and Applied Mathematics
4 Journal of Mathematical Biology
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Applied Mathematics and Optimization
4 Monatshefte für Mathematik
4 SIAM Journal on Scientific Computing
4 Journal of Mathematical Sciences (New York)
4 Bulletin des Sciences Mathématiques
4 Journal of Inequalities and Applications
4 Annals of Mathematics. Second Series
4 Communications in Nonlinear Science and Numerical Simulation
4 Advanced Nonlinear Studies
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Computers and Fluids
3 Journal d’Analyse Mathématique
3 Journal of Computational and Applied Mathematics
3 Mathematische Nachrichten
3 Pacific Journal of Mathematics
3 Ricerche di Matematica
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Topological Methods in Nonlinear Analysis
3 Electronic Journal of Differential Equations (EJDE)
3 Advances in Computational Mathematics
3 Taiwanese Journal of Mathematics
3 Acta Mathematica Sinica. English Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
...and 157 more Serials
all top 5

Cited in 43 Fields

1,661 Partial differential equations (35-XX)
855 Fluid mechanics (76-XX)
145 Numerical analysis (65-XX)
142 Statistical mechanics, structure of matter (82-XX)
98 Real functions (26-XX)
91 Probability theory and stochastic processes (60-XX)
86 Geophysics (86-XX)
81 Operator theory (47-XX)
78 Biology and other natural sciences (92-XX)
53 Integral equations (45-XX)
41 Ordinary differential equations (34-XX)
35 Functional analysis (46-XX)
33 Calculus of variations and optimal control; optimization (49-XX)
32 Classical thermodynamics, heat transfer (80-XX)
30 Harmonic analysis on Euclidean spaces (42-XX)
28 Quantum theory (81-XX)
24 Global analysis, analysis on manifolds (58-XX)
23 Mechanics of deformable solids (74-XX)
20 Dynamical systems and ergodic theory (37-XX)
17 Differential geometry (53-XX)
17 Systems theory; control (93-XX)
16 Operations research, mathematical programming (90-XX)
12 Potential theory (31-XX)
11 Optics, electromagnetic theory (78-XX)
8 Mechanics of particles and systems (70-XX)
8 Astronomy and astrophysics (85-XX)
7 Measure and integration (28-XX)
6 Functions of a complex variable (30-XX)
5 Difference and functional equations (39-XX)
5 Approximations and expansions (41-XX)
4 Statistics (62-XX)
3 General and overarching topics; collections (00-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Special functions (33-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Integral transforms, operational calculus (44-XX)
2 General topology (54-XX)
1 Number theory (11-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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