Edit Profile (opens in new tab) Rousset, Frédéric Co-Author Distance Author ID: rousset.frederic Published as: Rousset, Frédéric; Rousset, F.; Rousset, Frederic more...less Homepage: http://www.math.u-psud.fr/anm_edp/donnees/rousset.html External Links: MGP Documents Indexed: 76 Publications since 2001, including 4 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 41 Co-Authors with 63 Joint Publications 1,438 Co-Co-Authors all top 5 Co-Authors 13 single-authored 9 Schratz, Katharina 9 Tzvetkov, Nikolay 7 Han-Kwan, Daniel 6 Gérard-Varet, David 6 Nguyen, Toan Trong 5 Caglioti, Emanuele 5 Masmoudi, Nader 5 Ostermann, Alexander 4 Hmidi, Taoufik 4 Sun, Changzhen 3 Faou, Erwan 3 Germain, Pierre 3 Grenier, Emmanuel 2 Benzoni-Gavage, Sylvie 2 Chiron, David 2 Horsin, Romain 2 Ji, Lun 2 Keraani, Sahbi 2 Lagoutière, Frédéric 2 Pulvirenti, Mario 2 Pusateri, Fabio 1 Calvo, María Cabrera 1 Courtès, Clémentine 1 Duran, Arnaud 1 Elgindi, Tarek Mohamed 1 Fabrèges, Benoît 1 Farah, Luiz Gustavo 1 Gauckler, Ludwig J. 1 Huot, Pierre 1 Jones, Christopher K. R. T. 1 Lacave, Christophe 1 Lafitte, Pauline 1 Lu, Jianfeng 1 Marche, Fabien 1 Marzuola, Jeremy Louis 1 Mascia, Corrado 1 Ming, Mei 1 Natalini, Roberto 1 Sandstede, Björn 1 Serre, Denis 1 Soffer, Avraham all top 5 Serials 6 Archive for Rational Mechanics and Analysis 6 Communications in Mathematical Physics 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 SIAM Journal on Mathematical Analysis 3 Mathematics of Computation 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Communications on Pure and Applied Mathematics 2 Nonlinearity 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Indiana University Mathematics Journal 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Journal of the European Mathematical Society (JEMS) 2 Foundations of Computational Mathematics 2 Annals of PDE 1 IMA Journal of Numerical Analysis 1 Journal of Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Asymptotic Analysis 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Communications in Mathematical Sciences 1 Journal of Physics A: Mathematical and Theoretical 1 Journal de l’École Polytechnique – Mathématiques 1 Séminaire Laurent Schwartz. EDP et Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Pure and Applied Analysis all top 5 Fields 68 Partial differential equations (35-XX) 40 Fluid mechanics (76-XX) 12 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 1,275 times in 855 Documents Cited by ▼ Year ▼ Global well-posedness for Euler-Boussinesq system with critical dissipation. Zbl 1284.76089 Hmidi, T.; Keraani, S.; Rousset, F. 137 2011 Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation. Zbl 1200.35228 Hmidi, Taoufik; Keraani, Sahbi; Rousset, Frédéric 113 2010 Uniform regularity for the Navier-Stokes equation with Navier boundary condition. Zbl 1286.76026 Masmoudi, Nader; Rousset, Frédéric 89 2012 Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data. Zbl 1200.35229 Hmidi, Taoufik; Rousset, Frédéric 56 2010 Global well-posedness for the Euler-Boussinesq system with axisymmetric data. Zbl 1220.35127 Hmidi, Taoufik; Rousset, Frédéric 54 2011 Uniform regularity and vanishing viscosity limit for the free surface Navier-Stokes equations. Zbl 1359.35133 Masmoudi, Nader; Rousset, Frederic 53 2017 Global regularity for some Oldroyd-B type models. Zbl 1333.35189 Elgindi, Tarek M.; Rousset, Frederic 50 2015 Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries. Zbl 1417.35119 Gérard-Varet, David; Han-Kwan, Daniel; Rousset, Frédéric 46 2013 Transverse instability of the line solitary water-waves. Zbl 1225.35024 Rousset, Frederic; Tzvetkov, Nikolay 37 2011 Transverse nonlinear instability for two-dimensional dispersive models. Zbl 1169.35374 Rousset, F.; Tzvetkov, N. 36 2009 Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method. Zbl 1447.35247 Grenier, Emmanuel; Nguyen, Toan T.; Rousset, Frédéric; Soffer, Avy 32 2020 Transverse nonlinear instability of solitary waves for some Hamiltonian PDE’s. Zbl 1159.35063 Rousset, Frederic; Tzvetkov, Nikolay 31 2008 Asymptotic stability of solitons for mKdV. Zbl 1348.35219 Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric 30 2016 Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. Zbl 1486.65208 Ostermann, Alexander; Rousset, Frédéric; Schratz, Katharina 30 2021 Landau damping in Sobolev spaces for the Vlasov-HMF model. Zbl 1333.35291 Faou, Erwan; Rousset, Frédéric 29 2016 Generic types and transitions in hyperbolic initial-boundary-value problems. Zbl 1029.35165 Benzoni-Gavage, Sylvie; Rousset, Frédéric; Serre, Denis 28 2002 Stability of one-dimensional boundary layers by using Green’s functions. Zbl 1026.35015 Grenier, Emmanuel; Rousset, Frédéric 25 2001 Multi-solitons and related solutions for the water-waves system. Zbl 1320.35284 Ming, Mei; Rousset, Frederic; Tzvetkov, Nikolay 24 2015 A simple criterion of transverse linear instability for solitary waves. Zbl 1222.35028 Rousset, Frederic; Tzvetkov, Nikolay 23 2010 Quasineutral limit for Vlasov-Poisson with Penrose stable data. (Limite quasi neutre pour Vlasov-Poisson avec des données stables au sens de Penrose.) Zbl 1361.35179 Han-Kwan, Daniel; Rousset, Frédéric 23 2016 Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries. II. (Limite quasineutre du système d’Euler-Poisson pour les ions dans un domaine à bord. II.) Zbl 1417.35120 Gérard-Varet, David; Han-Kwan, Daniel; Rousset, Frédéric 21 2014 A general framework of low regularity integrators. Zbl 1486.65127 Rousset, Frédéric; Schratz, Katharina 21 2021 The KdV/KP-I limit of the nonlinear Schrödinger equation. Zbl 1210.35229 Chiron, D.; Rousset, F. 20 2010 Characteristic boundary layers in real vanishing viscosity limits. Zbl 1060.35015 Rousset, F. 19 2005 Stability and instability of the KdV solitary wave under the KP-I flow. Zbl 1252.35052 Rousset, Frederic; Tzvetkov, Nikolay 19 2012 The nonlinear Schrödinger equation with a potential. Zbl 1406.35355 Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric 19 2018 Quasi-stationary states for particle systems in the mean-field limit. Zbl 1208.82034 Caglioti, E.; Rousset, F. 14 2007 Geometric optics and boundary layers for nonlinear-Schrödinger equations. Zbl 1179.35303 Chiron, D.; Rousset, F. 13 2009 Nonlinear stability of semidiscrete shock waves. Zbl 1066.65093 Benzoni-Gavage, S.; Huot, P.; Rousset, F. 13 2003 Stability of small amplitude boundary layers for mixed hyperbolic-parabolic systems. Zbl 1022.35022 Rousset, F. 12 2003 Inviscid boundary conditions and stability of viscous boundary layers. Zbl 0977.35081 Rousset, Frédéric 11 2001 Asymptotic stability of equilibria for screened Vlasov-Poisson systems via pointwise dispersive estimates. Zbl 1492.35341 Han-Kwan, Daniel; Nguyen, Toan T.; Rousset, Frédéric 11 2021 Long-time estimates in the mean-field limit. Zbl 1155.76063 Caglioti, E.; Rousset, F. 10 2008 Error estimates of finite difference schemes for the Korteweg-de Vries equation. Zbl 1462.65103 Courtès, Clémentine; Lagoutière, Frédéric; Rousset, Frédéric 10 2020 Stability of large Ekman boundary layers in rotating fluids. Zbl 1117.76026 Rousset, F. 9 2004 Trigonometric integrators for quasilinear wave equations. Zbl 1403.65048 Gauckler, Ludwig; Lu, Jianfeng; Marzuola, Jeremy L.; Rousset, Frédéric; Schratz, Katharina 8 2019 Viscous approximation of strong shocks of systems of conservation laws. Zbl 1052.35128 Rousset, Frederic 7 2003 On the linearized Vlasov-Poisson system on the whole space around stable homogeneous equilibria. Zbl 1477.35269 Han-Kwan, Daniel; Nguyen, Toan T.; Rousset, Frédéric 6 2021 Asymptotic stability of steady-states for Saint-Venant equations with real viscosity. Zbl 1291.76053 Mascia, Corrado; Rousset, Frederic 5 2007 The vanishing viscosity limit for 2D Navier-Stokes in a rough domain. (La limite faible viscosité pour Navier-Stokes 2D dans un domaine rugueux.) Zbl 1408.35122 Gérard-Varet, David; Lacave, Christophe; Nguyen, Toan T.; Rousset, Frédéric 5 2018 Long time estimates for the Vlasov-Maxwell system in the non-relativistic limit. Zbl 1403.35297 Han-Kwan, Daniel; Nguyen, Toan T.; Rousset, Frédéric 5 2018 Long wave limit for Schrödinger maps. Zbl 1428.35448 Germain, Pierre; Rousset, Frédéric 5 2019 On a constrained 2-D Navier-Stokes equation. Zbl 1186.35135 Caglioti, E.; Pulvirenti, M.; Rousset, F. 4 2009 Large mixed Ekman-Hartmann boundary-layers in magnetohydrodynamics. Zbl 1054.35069 Rousset, F. 4 2004 Stability of oscillating boundary layers in rotating fluids. Zbl 1159.76013 Masmoudi, Nader; Rousset, Frédéric 4 2008 Three-dimensional instability of planar flows. Zbl 1126.76023 Gallaire, F.; Gérard-Varet, D.; Rousset, F. 4 2007 Convergence error estimates at low regularity for time discretizations of KdV. Zbl 1492.65257 Rousset, Frédéric; Schratz, Katharina 4 2022 Weak solutions to the Navier-Stokes equation for compressible fluids [after A. Vasseur and C. Yu]. (Solutions faibles de l’équation de Navier-Stokes des fluides compressibles [d’après A. Vasseur et C. Yu].) Zbl 1483.35155 Rousset, Frédéric 4 2019 Asymptotic behavior of geophysical fluids in highly rotating balls. Zbl 1105.76060 Rousset, F. 3 2007 The residual boundary conditions coming from the real vanishing viscosity method. Zbl 1012.35055 Rousset, Frederic 3 2002 Stability of large amplitude Ekman-Hartmann boundary layers in MHD: the case of ill-prepared data. Zbl 1075.76033 Rousset, F. 3 2005 Spectral stability implies nonlinear stability for incompressible boundary layers. Zbl 1158.35073 Gallaire, F.; Rousset, F. 3 2008 Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory. Zbl 1067.35073 Grenier, Emmanuel; Jones, Christopher K. R. T.; Rousset, Frederic; Sandstede, Björn 3 2005 The 2D constrained Navier-Stokes equation and intermediate asymptotics. Zbl 1143.76022 Caglioti, E.; Pulvirenti, M.; Rousset, F. 3 2008 Uniform regularity for the compressible Navier-Stokes system with low Mach number in domains with boundaries. Zbl 1490.35339 Masmoudi, Nader; Rousset, Frédéric; Sun, Changzhen 3 2022 On linear damping around inhomogeneous stationary states of the Vlasov-HMF model. Zbl 1512.35578 Faou, Erwan; Horsin, Romain; Rousset, Frédéric 3 2021 Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation. Zbl 1257.35164 Farah, Luiz Gustavo; Rousset, Frederic; Tzvetkov, Nikolay 3 2012 Long time behavior of particle systems in the mean field limit. Zbl 1138.82342 Caglioti, Emanuele; Rousset, Frédéric 2 2007 On the transverse instability of one dimensional capillary-gravity waves. Zbl 1197.35333 Rousset, Frédéric; Tzvetkov, Nikolay 2 2010 On numerical Landau damping for splitting methods applied to the Vlasov-HMF model. Zbl 1388.35193 Faou, Erwan; Horsin, Romain; Rousset, Frédéric 2 2018 Convergence of a singular Euler-Poisson approximation of the incompressible Navier-Stokes equations. Zbl 1220.35122 Natalini, R.; Rousset, F. 2 2006 Shear layer solutions of incompressible MHD and dynamo effect. Zbl 1128.76066 Gérard-Varet, David; Rousset, Frédéric 2 2007 Error estimates at low regularity of splitting schemes for NLS. Zbl 1482.65197 Ostermann, Alexander; Rousset, Frédéric; Schratz, Katharina 2 2022 Stability of equilibria uniformly in the inviscid limit for the Navier-Stokes-Poisson system. Zbl 1465.76114 Rousset, Frédéric; Sun, Changzhen 2 2021 Time integrators for dispersive equations in the long wave regime. Zbl 1507.65203 Calvo, María Cabrera; Rousset, Frédéric; Schratz, Katharina 1 2022 Convergence error estimates at low regularity for time discretizations of KdV. Zbl 1492.65257 Rousset, Frédéric; Schratz, Katharina 4 2022 Uniform regularity for the compressible Navier-Stokes system with low Mach number in domains with boundaries. Zbl 1490.35339 Masmoudi, Nader; Rousset, Frédéric; Sun, Changzhen 3 2022 Error estimates at low regularity of splitting schemes for NLS. Zbl 1482.65197 Ostermann, Alexander; Rousset, Frédéric; Schratz, Katharina 2 2022 Time integrators for dispersive equations in the long wave regime. Zbl 1507.65203 Calvo, María Cabrera; Rousset, Frédéric; Schratz, Katharina 1 2022 Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. Zbl 1486.65208 Ostermann, Alexander; Rousset, Frédéric; Schratz, Katharina 30 2021 A general framework of low regularity integrators. Zbl 1486.65127 Rousset, Frédéric; Schratz, Katharina 21 2021 Asymptotic stability of equilibria for screened Vlasov-Poisson systems via pointwise dispersive estimates. Zbl 1492.35341 Han-Kwan, Daniel; Nguyen, Toan T.; Rousset, Frédéric 11 2021 On the linearized Vlasov-Poisson system on the whole space around stable homogeneous equilibria. Zbl 1477.35269 Han-Kwan, Daniel; Nguyen, Toan T.; Rousset, Frédéric 6 2021 On linear damping around inhomogeneous stationary states of the Vlasov-HMF model. Zbl 1512.35578 Faou, Erwan; Horsin, Romain; Rousset, Frédéric 3 2021 Stability of equilibria uniformly in the inviscid limit for the Navier-Stokes-Poisson system. Zbl 1465.76114 Rousset, Frédéric; Sun, Changzhen 2 2021 Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method. Zbl 1447.35247 Grenier, Emmanuel; Nguyen, Toan T.; Rousset, Frédéric; Soffer, Avy 32 2020 Error estimates of finite difference schemes for the Korteweg-de Vries equation. Zbl 1462.65103 Courtès, Clémentine; Lagoutière, Frédéric; Rousset, Frédéric 10 2020 Trigonometric integrators for quasilinear wave equations. Zbl 1403.65048 Gauckler, Ludwig; Lu, Jianfeng; Marzuola, Jeremy L.; Rousset, Frédéric; Schratz, Katharina 8 2019 Long wave limit for Schrödinger maps. Zbl 1428.35448 Germain, Pierre; Rousset, Frédéric 5 2019 Weak solutions to the Navier-Stokes equation for compressible fluids [after A. Vasseur and C. Yu]. (Solutions faibles de l’équation de Navier-Stokes des fluides compressibles [d’après A. Vasseur et C. Yu].) Zbl 1483.35155 Rousset, Frédéric 4 2019 The nonlinear Schrödinger equation with a potential. Zbl 1406.35355 Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric 19 2018 The vanishing viscosity limit for 2D Navier-Stokes in a rough domain. (La limite faible viscosité pour Navier-Stokes 2D dans un domaine rugueux.) Zbl 1408.35122 Gérard-Varet, David; Lacave, Christophe; Nguyen, Toan T.; Rousset, Frédéric 5 2018 Long time estimates for the Vlasov-Maxwell system in the non-relativistic limit. Zbl 1403.35297 Han-Kwan, Daniel; Nguyen, Toan T.; Rousset, Frédéric 5 2018 On numerical Landau damping for splitting methods applied to the Vlasov-HMF model. Zbl 1388.35193 Faou, Erwan; Horsin, Romain; Rousset, Frédéric 2 2018 Uniform regularity and vanishing viscosity limit for the free surface Navier-Stokes equations. Zbl 1359.35133 Masmoudi, Nader; Rousset, Frederic 53 2017 Asymptotic stability of solitons for mKdV. Zbl 1348.35219 Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric 30 2016 Landau damping in Sobolev spaces for the Vlasov-HMF model. Zbl 1333.35291 Faou, Erwan; Rousset, Frédéric 29 2016 Quasineutral limit for Vlasov-Poisson with Penrose stable data. (Limite quasi neutre pour Vlasov-Poisson avec des données stables au sens de Penrose.) Zbl 1361.35179 Han-Kwan, Daniel; Rousset, Frédéric 23 2016 Global regularity for some Oldroyd-B type models. Zbl 1333.35189 Elgindi, Tarek M.; Rousset, Frederic 50 2015 Multi-solitons and related solutions for the water-waves system. Zbl 1320.35284 Ming, Mei; Rousset, Frederic; Tzvetkov, Nikolay 24 2015 Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries. II. (Limite quasineutre du système d’Euler-Poisson pour les ions dans un domaine à bord. II.) Zbl 1417.35120 Gérard-Varet, David; Han-Kwan, Daniel; Rousset, Frédéric 21 2014 Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries. Zbl 1417.35119 Gérard-Varet, David; Han-Kwan, Daniel; Rousset, Frédéric 46 2013 Uniform regularity for the Navier-Stokes equation with Navier boundary condition. Zbl 1286.76026 Masmoudi, Nader; Rousset, Frédéric 89 2012 Stability and instability of the KdV solitary wave under the KP-I flow. Zbl 1252.35052 Rousset, Frederic; Tzvetkov, Nikolay 19 2012 Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation. Zbl 1257.35164 Farah, Luiz Gustavo; Rousset, Frederic; Tzvetkov, Nikolay 3 2012 Global well-posedness for Euler-Boussinesq system with critical dissipation. Zbl 1284.76089 Hmidi, T.; Keraani, S.; Rousset, F. 137 2011 Global well-posedness for the Euler-Boussinesq system with axisymmetric data. Zbl 1220.35127 Hmidi, Taoufik; Rousset, Frédéric 54 2011 Transverse instability of the line solitary water-waves. Zbl 1225.35024 Rousset, Frederic; Tzvetkov, Nikolay 37 2011 Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation. Zbl 1200.35228 Hmidi, Taoufik; Keraani, Sahbi; Rousset, Frédéric 113 2010 Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data. Zbl 1200.35229 Hmidi, Taoufik; Rousset, Frédéric 56 2010 A simple criterion of transverse linear instability for solitary waves. Zbl 1222.35028 Rousset, Frederic; Tzvetkov, Nikolay 23 2010 The KdV/KP-I limit of the nonlinear Schrödinger equation. Zbl 1210.35229 Chiron, D.; Rousset, F. 20 2010 On the transverse instability of one dimensional capillary-gravity waves. Zbl 1197.35333 Rousset, Frédéric; Tzvetkov, Nikolay 2 2010 Transverse nonlinear instability for two-dimensional dispersive models. Zbl 1169.35374 Rousset, F.; Tzvetkov, N. 36 2009 Geometric optics and boundary layers for nonlinear-Schrödinger equations. Zbl 1179.35303 Chiron, D.; Rousset, F. 13 2009 On a constrained 2-D Navier-Stokes equation. Zbl 1186.35135 Caglioti, E.; Pulvirenti, M.; Rousset, F. 4 2009 Transverse nonlinear instability of solitary waves for some Hamiltonian PDE’s. Zbl 1159.35063 Rousset, Frederic; Tzvetkov, Nikolay 31 2008 Long-time estimates in the mean-field limit. Zbl 1155.76063 Caglioti, E.; Rousset, F. 10 2008 Stability of oscillating boundary layers in rotating fluids. Zbl 1159.76013 Masmoudi, Nader; Rousset, Frédéric 4 2008 Spectral stability implies nonlinear stability for incompressible boundary layers. Zbl 1158.35073 Gallaire, F.; Rousset, F. 3 2008 The 2D constrained Navier-Stokes equation and intermediate asymptotics. Zbl 1143.76022 Caglioti, E.; Pulvirenti, M.; Rousset, F. 3 2008 Quasi-stationary states for particle systems in the mean-field limit. Zbl 1208.82034 Caglioti, E.; Rousset, F. 14 2007 Asymptotic stability of steady-states for Saint-Venant equations with real viscosity. Zbl 1291.76053 Mascia, Corrado; Rousset, Frederic 5 2007 Three-dimensional instability of planar flows. Zbl 1126.76023 Gallaire, F.; Gérard-Varet, D.; Rousset, F. 4 2007 Asymptotic behavior of geophysical fluids in highly rotating balls. Zbl 1105.76060 Rousset, F. 3 2007 Long time behavior of particle systems in the mean field limit. Zbl 1138.82342 Caglioti, Emanuele; Rousset, Frédéric 2 2007 Shear layer solutions of incompressible MHD and dynamo effect. Zbl 1128.76066 Gérard-Varet, David; Rousset, Frédéric 2 2007 Convergence of a singular Euler-Poisson approximation of the incompressible Navier-Stokes equations. Zbl 1220.35122 Natalini, R.; Rousset, F. 2 2006 Characteristic boundary layers in real vanishing viscosity limits. Zbl 1060.35015 Rousset, F. 19 2005 Stability of large amplitude Ekman-Hartmann boundary layers in MHD: the case of ill-prepared data. Zbl 1075.76033 Rousset, F. 3 2005 Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory. Zbl 1067.35073 Grenier, Emmanuel; Jones, Christopher K. R. T.; Rousset, Frederic; Sandstede, Björn 3 2005 Stability of large Ekman boundary layers in rotating fluids. Zbl 1117.76026 Rousset, F. 9 2004 Large mixed Ekman-Hartmann boundary-layers in magnetohydrodynamics. Zbl 1054.35069 Rousset, F. 4 2004 Nonlinear stability of semidiscrete shock waves. Zbl 1066.65093 Benzoni-Gavage, S.; Huot, P.; Rousset, F. 13 2003 Stability of small amplitude boundary layers for mixed hyperbolic-parabolic systems. Zbl 1022.35022 Rousset, F. 12 2003 Viscous approximation of strong shocks of systems of conservation laws. Zbl 1052.35128 Rousset, Frederic 7 2003 Generic types and transitions in hyperbolic initial-boundary-value problems. Zbl 1029.35165 Benzoni-Gavage, Sylvie; Rousset, Frédéric; Serre, Denis 28 2002 The residual boundary conditions coming from the real vanishing viscosity method. Zbl 1012.35055 Rousset, Frederic 3 2002 Stability of one-dimensional boundary layers by using Green’s functions. Zbl 1026.35015 Grenier, Emmanuel; Rousset, Frédéric 25 2001 Inviscid boundary conditions and stability of viscous boundary layers. Zbl 0977.35081 Rousset, Frédéric 11 2001 all cited Publications top 5 cited Publications all top 5 Cited by 903 Authors 36 Rousset, Frédéric 28 Wu, Jiahong 16 Xu, Xiaojing 16 Zumbrun, Kevin R. 15 Masmoudi, Nader 15 Nguyen, Toan Trong 15 Zhang, Zhifei 13 Schratz, Katharina 12 Saut, Jean-Claude 10 Tzvetkov, Nikolay 10 Ye, Zhuan 9 Coti Zelati, Michele 9 Elgindi, Tarek Mohamed 9 Han-Kwan, Daniel 9 Shang, Haifeng 9 Wang, Jing 8 Alazard, Thomas 8 Bedrossian, Jacob 8 Gérard-Varet, David 8 Sueur, Franck 8 Vicol, Vlad C. 8 Williams, Mark 8 Yamazaki, Kazuo 7 Carles, Rémi 7 Coulombel, Jean-François 7 Guès, Olivier 7 Hupkes, Hermen Jan 7 Ionescu, Alexandru D. 7 Jiu, Quansen 7 Li, Fucai 7 Peng, Yuejun 7 Pusateri, Fabio 7 Wei, Dongyi 7 Xin, Zhouping 7 Xue, Liutang 7 Zhang, Ping 7 Zhao, Kun 6 Chen, Gong 6 Germain, Pierre 6 Gu, Xumin 6 Haragus, Mariana 6 Hmidi, Taoufik 6 Klein, Christian 6 Kukavica, Igor 6 Luo, Tao 6 Métivier, Guy 6 Mizumachi, Tetsu 6 Pu, Xueke 6 Suzuki, Masahiro 6 Wang, Chao 6 Zerguine, Mohamed 6 Zhai, Xiaoping 5 Benoit, Antoine 5 Caglioti, Emanuele 5 Côte, Raphaël 5 Houamed, Haroune 5 Iacobelli, Mikaela 5 Jia, Hao 5 Ju, Qiangchang 5 Li, Yong 5 Li, Zijin 5 Muñoz, Claudio 5 Pausader, Benoît 5 Wang, Shu 5 Widmayer, Klaus 5 Xie, Feng 5 Zhang, Qian 5 Zhang, Zhipeng 5 Zheng, Xiaoxin 4 Burq, Nicolas 4 Calvo, María Cabrera 4 Chen, Qi 4 Constantin, Peter 4 Dalibard, Anne-Laure 4 Dong, Boqing 4 Duan, Renjun 4 Fang, Daoyuan 4 Grenier, Emmanuel 4 Gui, Guilong 4 Hou, Qianqian 4 Li, Buyang 4 Liu, Cunming 4 Manna, Utpal 4 Martel, Yvan 4 Maspero, Alberto 4 Mazzucato, Anna L. 4 Pan, Xinghong 4 Sandstede, Björn 4 Su, Xing 4 Wu, Gang 4 Yan, Weiping 4 Zhang, Junyan 4 Zhang, Ting 4 Zhao, Jiefeng 4 Zhong, Yueyuan 4 Zhou, Wenshu 4 Zhu, Yi 4 Zuily, Claude 3 Abidi, Hammadi 3 Bao, Weizhu ...and 803 more Authors all top 5 Cited in 170 Serials 78 Journal of Differential Equations 52 Archive for Rational Mechanics and Analysis 34 SIAM Journal on Mathematical Analysis 29 Communications in Mathematical Physics 27 Journal of Mathematical Analysis and Applications 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Journal of Mathematical Fluid Mechanics 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Journal of Mathematical Physics 16 Discrete and Continuous Dynamical Systems 15 Mathematical Methods in the Applied Sciences 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Nonlinearity 14 Physica D 13 Communications on Pure and Applied Analysis 12 Transactions of the American Mathematical Society 11 Journal of Functional Analysis 10 Applicable Analysis 10 Journal of Statistical Physics 10 Calculus of Variations and Partial Differential Equations 9 SIAM Journal on Numerical Analysis 9 Communications in Partial Differential Equations 9 Journal of Dynamics and Differential Equations 9 Journal of Nonlinear Science 9 Discrete and Continuous Dynamical Systems. Series B 9 Journal of Hyperbolic Differential Equations 9 Kinetic and Related Models 9 Annals of PDE 8 Nonlinear Analysis. Real World Applications 7 Communications on Pure and Applied Mathematics 7 Mathematics of Computation 7 Advances in Mathematics 7 Applied Mathematics Letters 7 Asymptotic Analysis 7 Science China. Mathematics 7 Séminaire Laurent Schwartz. EDP et Applications 6 Studies in Applied Mathematics 6 Acta Applicandae Mathematicae 6 NoDEA. Nonlinear Differential Equations and Applications 5 Memoirs of the American Mathematical Society 5 Quarterly of Applied Mathematics 5 Revista Matemática Iberoamericana 5 Journal of Scientific Computing 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Journal of the European Mathematical Society (JEMS) 5 Discrete and Continuous Dynamical Systems. Series S 5 Analysis & PDE 4 Annales de l’Institut Fourier 4 Applied Mathematics and Optimization 4 Inventiones Mathematicae 4 Journal of Computational and Applied Mathematics 4 Proceedings of the American Mathematical Society 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Annales Henri Poincaré 4 Journal of Evolution Equations 3 Computers & Mathematics with Applications 3 Journal of Computational Physics 3 BIT 3 Mathematische Annalen 3 Numerische Mathematik 3 Journal of Inequalities and Applications 3 Acta Mathematica Scientia. Series B. (English Edition) 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Journal of Applied Analysis and Computation 2 Geophysical and Astrophysical Fluid Dynamics 2 Journal d’Analyse Mathématique 2 Journal of Fluid Mechanics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Polonici Mathematici 2 Bulletin de la Société Mathématique de France 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Osaka Journal of Mathematics 2 Results in Mathematics 2 Chinese Annals of Mathematics. Series B 2 Stochastic Analysis and Applications 2 Numerical Methods for Partial Differential Equations 2 Journal of the American Mathematical Society 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Multiscale Modeling & Simulation 2 Analysis and Applications (Singapore) 2 Forum of Mathematics, Pi 2 Forum of Mathematics, Sigma 2 Communications in Mathematics and Statistics 2 Advances in Nonlinear Analysis 2 Journal of Function Spaces 2 Journal de l’École Polytechnique – Mathématiques 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Tunisian Journal of Mathematics 2 Pure and Applied Analysis 2 Peking Mathematical Journal 2 Annales Henri Lebesgue 2 Electronic Research Archive 2 Water Waves 1 Classical and Quantum Gravity 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Letters in Mathematical Physics ...and 70 more Serials all top 5 Cited in 34 Fields 807 Partial differential equations (35-XX) 531 Fluid mechanics (76-XX) 57 Numerical analysis (65-XX) 55 Statistical mechanics, structure of matter (82-XX) 53 Dynamical systems and ergodic theory (37-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 31 Optics, electromagnetic theory (78-XX) 25 Real functions (26-XX) 24 Geophysics (86-XX) 19 Quantum theory (81-XX) 17 Probability theory and stochastic processes (60-XX) 16 Ordinary differential equations (34-XX) 13 Mechanics of deformable solids (74-XX) 11 Biology and other natural sciences (92-XX) 8 Operator theory (47-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of particles and systems (70-XX) 4 Astronomy and astrophysics (85-XX) 4 Systems theory; control (93-XX) 3 Functional analysis (46-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year