Edit Profile (opens in new tab) Vasseur, Alexis F. Co-Author Distance Author ID: vasseur.alexis-f Published as: Vasseur, Alexis F.; Vasseur, Alexis; Vasseur, A. more...less Homepage: http://www.ma.utexas.edu/users/vasseur/ External Links: MGP · Wikidata · dblp · IdRef · theses.fr Documents Indexed: 115 Publications since 1996, including 8 Additional arXiv Preprints Co-Authors: 62 Co-Authors with 99 Joint Publications 1,657 Co-Co-Authors all top 5 Co-Authors 16 single-authored 15 Kang, Moon-Jin 8 Goudon, Thierry 8 Mellet, Antoine 6 Caffarelli, Luis Ángel 5 Wang, Yi 5 Yu, Cheng 4 Choi, Kyudong 4 Golse, François 4 Krupa, Sam G. 3 Berthelin, Florent 3 Chan, Chi Hin 3 Collet, Jean-François 3 Imbert, Cyril 3 Kwon, Young-Sam 3 Michoski, C. E. 3 Novack, Matthew D. 3 Poupaud, Frédéric 3 Serre, Denis 3 Yang, Jincheng 2 Allen, Mark G. 2 Bresch, Didier 2 Caputo, M. Cristina 2 Chen, Geng 2 Ducomet, Bernard 2 Feireisl, Eduard 2 Martínez Gamba, Irene 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 Fanelli, Francesco 1 Gisclon, Marguerite 1 Golding, William M. 1 Gualdani, Maria Pia 1 Hariz, Sara 1 Jabin, Pierre-Emmanuel 1 Ji, Sehyun 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 Yao, Lei 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 all top 5 Fields 104 Partial differential equations (35-XX) 58 Fluid mechanics (76-XX) 16 Statistical mechanics, structure of matter (82-XX) 8 Numerical analysis (65-XX) 6 Geophysics (86-XX) 4 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) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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. 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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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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