Edit Profile (opens in new tab) Grenier, Emmanuel Co-Author Distance Author ID: grenier.emmanuel Published as: Grenier, Emmanuel; Grenier, E. Homepage: http://www.umpa.ens-lyon.fr/umpa/annuaire/grenier-emmanuel External Links: MGP · Wikidata · ResearchGate · dblp · IdRef · theses.fr Awards: EMS Prize (2000) Documents Indexed: 101 Publications since 1994, including 1 Book and 9 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 6 Reviews Co-Authors: 68 Co-Authors with 80 Joint Publications 1,734 Co-Co-Authors all top 5 Co-Authors 22 single-authored 22 Desjardins, Benoît 17 Nguyen, Toan Trong 16 Bresch, Didier 8 Ribba, Benjamin 7 Guo, Yan 6 Chemin, Jean-Yves 6 Gallagher, Isabelle 6 Saut, Olivier 5 Bian, Dongfen 5 Boissel, Jean-Pierre 5 Colin, Thierry 4 Dronne, Marie-Aimée 4 Vigneaux, Paul 3 Billy, Frédérique 3 Calvez, Vincent 3 Chapuisat, Guillemette 3 Louvet, Violaine 3 Rousset, Frédéric 2 Brenier, Yann 2 Chainais-Hillairet, Claire 2 Cordier, Stéphane 2 Di Lisio, Roberto 2 Dormy, Emmanuel 2 Gérard-Varet, David 2 Jones, Christopher K. R. T. 2 Lignet, Floriane 2 Masmoudi, Nader 2 Pulvirenti, Mario 2 Rodnianski, Igor 1 Abbaszadeh, A. 1 Adda Berkane, A. 1 Barbolosi, Dominique 1 Benzekry, Sébastien 1 Bouffandeau, B. 1 Bouin, Emeric 1 Brunet, Solenn 1 Castiglione, Filippo 1 Descombes, Stéphane 1 El Garch, H. 1 Flandrois, Jean-Pierre 1 Ghidaglia, Jean-Michel 1 Gilquin, Hervé 1 Guès, Olivier 1 Hamel, François 1 Helbert, Céline 1 Hoffmann, Marc 1 Hommel, Mark J. 1 Hubert, Florence 1 Kassour, S. 1 Lelekov-Boissard, Taïssia 1 Lelièvre, Tony 1 Lin, Chikun 1 Lions, Pierre-Louis 1 Morre-Trouilhet, Hélène 1 Nadin, Grégoire 1 Pausader, Benoît 1 Poulet, H. 1 Prieur, Clémentine 1 Rachdi, Nabil 1 Rovini, A. 1 Samson, Adeline 1 Sandstede, Björn 1 Soffer, Avraham 1 Tod, Michel 1 Turitsyn, Sergei K. 1 Vanhems, Philippe 1 You, Benoit 1 Zharnitsky, Vadim all top 5 Serials 5 Communications in Partial Differential Equations 5 Comptes Rendus de l’Académie des Sciences. Série I 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 4 Journal of Differential Equations 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Theoretical Biology 3 Archive for Rational Mechanics and Analysis 3 Communications on Pure and Applied Mathematics 3 Séminaire Équations aux Dérivées Partielles 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Nonlinearity 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Mathematical and Computer Modelling 2 SIAM Journal on Mathematical Analysis 2 Mathematical Research Letters 2 Methods and Applications of Analysis 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Computers & Mathematics with Applications 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Duke Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 Physica D 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Computational and Applied Mathematics 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 Analysis (München) 1 Acta Mathematica Sinica. English Series 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Mathematical Biosciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Oxford Lecture Series in Mathematics and its Applications 1 Computational & Mathematical Methods in Medicine 1 Annals of PDE 1 Séminaire Laurent Schwartz. EDP et Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Proceedings of the American Mathematical Society. Series B all top 5 Fields 78 Partial differential equations (35-XX) 57 Fluid mechanics (76-XX) 18 Biology and other natural sciences (92-XX) 7 Numerical analysis (65-XX) 6 Geophysics (86-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Ordinary differential equations (34-XX) 2 Quantum theory (81-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 2,099 times in 1,383 Documents Cited by ▼ Year ▼ Sticky particles and scalar conservation laws. Zbl 0924.35080 Brenier, Yann; Grenier, Emmanuel 175 1998 Mathematical geophysics. An introduction to rotating fluids and the Navier-Stokes equations. Zbl 1205.86001 Chemin, Jean-Yves; Desjardins, Benoit; Gallagher, Isabelle; Grenier, Emmanuel 158 2006 On the nonlinear instability of Euler and Prandtl equations. Zbl 1048.35081 Grenier, Emmanuel 133 2000 Low Mach number limit of viscous compressible flows in the whole space. Zbl 0934.76080 Desjardins, Benoit; Grenier, E. 117 1999 Quasineutral limit of an Euler-Poisson system arising from plasma physics. Zbl 0978.82086 Cordier, Stéphane; Grenier, Emmanuel 113 2000 Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions. Zbl 0992.35067 Desjardins, B.; Grenier, E.; Lions, P.-L.; Masmoudi, N. 97 1999 Fluids with anisotropic viscosity. Zbl 0954.76012 Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 88 2000 Spectral instability of characteristic boundary layer flows. Zbl 1359.35129 Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T. 68 2016 Semiclassical limit of the nonlinear Schrödinger equation in small time. Zbl 0910.35115 Grenier, E. 64 1998 Oscillatory perturbations of the Navier-Stokes equations. Zbl 0885.35090 Grenier, E. 61 1997 Anisotropy and dispersion in rotating fluids. Zbl 1034.35107 Chemin, J.-Y.; Desjardins, B.; Gallagher, I.; Grenier, E. 53 2002 Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems. Zbl 0896.35078 Grenier, Emmanuel; Guès, Olivier 53 1998 Ekman layers of rotating fluids, the case of well prepared initial data. Zbl 0880.35093 Grenier, E.; Masmoudi, N. 52 1997 Spectral instability of general symmetric shear flows in a two-dimensional channel. Zbl 1382.76079 Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T. 47 2016 Low Mach number limit of viscous polytropic flows: formal asymptotics in the periodic case. Zbl 1114.76347 Bresch, D.; Desjardins, B.; Grenier, E.; Lin, C.-K. 46 2002 Oscillations in quasineutral plasmas. Zbl 0849.35107 Grenier, Emmanuel 46 1996 Stabilizing effects of dispersion management. Zbl 0972.78021 Zharnitsky, Vadim; Grenier, Emmanuel; Jones, Christopher K. R. T.; Turitsyn, Sergei K. 45 2001 Pseudo-differential energy estimates of singular perturbations. Zbl 0884.35183 Grenier, E. 39 1997 Global weak solutions to a generic two-fluid model. Zbl 1193.35146 Bresch, D.; Desjardins, B.; Ghidaglia, J.-M.; Grenier, E. 39 2010 Computational modeling of solid tumor growth: the avascular stage. Zbl 1214.92039 Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier 34 2010 On the derivation of homogeneous hydrostatic equations. Zbl 0947.76013 Grenier, Emmanuel 33 1999 Spectral stability of Prandtl boundary layers: an overview. Zbl 1327.76065 Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T. 33 2015 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 \(L^\infty\) instability of Prandtl layers. Zbl 1436.35037 Grenier, Emmanuel; Nguyen, Toan T. 29 2019 Defect measures of the Vlasov-Poisson system in the quasineutral regime. Zbl 0828.35106 Grenier, E. 28 1995 Global existence for zero pressure gas dynamics. (Existence globale pour le système des gaz sans pression.) Zbl 0837.35088 Grenier, Emmanuel 28 1995 Stability of one-dimensional boundary layers by using Green’s functions. Zbl 1026.35015 Grenier, Emmanuel; Rousset, Frédéric 25 2001 On the homogeneous model of wind-driven ocean circulation. Zbl 0958.76092 Desjardins, B.; Grenier, E. 24 1999 Stability of mixed Ekman-Hartmann boundary layers. Zbl 0939.35151 Desjardins, B.; Dormy, E.; Grenier, E. 23 1999 Derivation of quasi-geostrophic potential vorticity equations. Zbl 0967.76096 Desjardins, B.; Grenier, E. 20 1998 A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy. Zbl 1402.92050 Billy, Frédérique; Ribba, Benjamin; Saut, Olivier; Morre-Trouilhet, Hélène; Colin, Thierry; Bresch, Didier; Boissel, Jean-Pierre; Grenier, Emmanuel; Flandrois, Jean-Pierre 20 2009 Existence and nonexistence of traveling wave solutions for a bistable reaction-diffusion equation in an infinite cylinder whose diameter is suddenly increased. Zbl 1087.35052 Chapuisat, Guillemette; Grenier, Emmanuel 17 2005 Ekman boundary layers in rotating fluids. Zbl 1070.35505 Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 17 2002 Sublayer of Prandtl boundary layers. Zbl 1402.35206 Grenier, Emmanuel; Nguyen, Toan T. 15 2018 Two-stream instabilities in plasmas. Zbl 1002.82029 Cordier, S.; Grenier, E.; Guo, Y. 15 2000 Singular limit of the Vlasov-Poisson system in the quasi-neutral regime: The time independent case. (Limite singulière du système de Vlasov-Poisson dans le régime de quasi neutralité: Le cas indépendant du temps.) Zbl 0803.35110 Brenier, Yann; Grenier, Emmanuel 15 1994 A viscoelastic model for avascular tumor growth. Zbl 1185.92059 Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier 15 2009 A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents. Zbl 1447.92105 Ribba, B.; Saut, O.; Colin, T.; Bresch, D.; Grenier, Emmanuel; Boissel, J. P. 15 2006 The convergence of the SPH method. Zbl 0906.76065 Di Lisio, R.; Grenier, E.; Pulvirenti, M. 12 1998 On the stability of boundary layers of incompressible Euler equations. Zbl 0958.35106 Grenier, E. 11 2000 Boundary layers. Zbl 1221.76082 Grenier, Emmanuel 11 2004 Boundary layers for parabolic regularizations of totally characteristic quasilinear parabolic equations. Zbl 0914.35032 Grenier, E. 10 1997 Landau damping for analytic and Gevrey data. Zbl 1496.35080 Grenier, Emmanuel; Nguyen, Toan T.; Rodnianski, Igor 10 2021 Quasineutral limit in dimension 1. (Limite quasineutre en dimension 1.) Zbl 1008.35054 Grenier, Emmanuel 9 1998 Linear instability implies nonlinear instability for various types of viscous boundary layers. (Stabilité linéaire implique stabilité non linéaire pour diverses couches limites visqueuses.) Zbl 1114.76024 Desjardins, B.; Grenier, E. 9 2003 Green function of Orr-Sommerfeld equations away from critical layers. Zbl 1414.35149 Grenier, Emmanuel; Nguyen, Toan T. 8 2019 Mathematical model of cancer growth controled by metronomic chemotherapies. Zbl 1336.92035 André, N.; Barbolosi, D.; Billy, F.; Chapuisat, G.; Hubert, F.; Grenier, E.; Rovini, A. 7 2013 Derivation of the ion equation. Zbl 1431.35127 Grenier, E.; Guo, Y.; Pausader, B.; Suzuki, M. 7 2020 Numerical boundary layers for hyperbolic systems in 1-D. Zbl 0980.65093 Chainais-Hillairet, Claire; Grenier, Emmanuel 6 2001 Semiclassical limit of the nonlinear Schrödinger equation in small time. (Limite semi-classique de l’équation de Schrödinger non linéaire en temps petit.) Zbl 0835.35132 Grenier, Emmanuel 6 1995 On the regularization of the pressure field in compressible Euler equations. Zbl 0891.35123 Di Lisio, R.; Grenier, E.; Pulvirenti, M. 4 1997 Rotating fluids and inertial waves. (Fluides en rotation et ondes d’inertie.) Zbl 0843.35073 Grenier, Emmanuel 4 1995 Derivation of the planetary geostrophic equations. Zbl 1104.76081 Bresch, Didier; Gérard-Varet, David; Grenier, Emmanuel 4 2006 Plasma echoes near stable Penrose data. Zbl 1509.35315 Grenier, Emmanuel; Nguyen, Toan T.; Rodnianski, Igor 4 2022 A mathematical model of ion movements in grey matter during a stroke. Zbl 1447.92087 Dronne, Marie-Aimée; Boissel, Jean-Pierre; Grenier, Emmanuel 4 2006 Parameter estimation in non-linear mixed effects models with SAEM algorithm: extension from ODE to PDE. Zbl 1301.35177 Grenier, E.; Louvet, V.; Vigneaux, P. 3 2014 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 Boundary layer instability at the top of the Earth’s outer core. Zbl 1107.86006 Desjardins, Benoît; Dormy, Emmanuel; Grenier, Emmanuel 3 2004 Generator functions and their applications. Zbl 1473.35007 Grenier, Emmanuel; Nguyen, Toan T. 3 2021 Oscillatory limits with changing eigenvalues: a formal study. Zbl 1195.35251 Bresch, Didier; Desjardins, Benoît; Grenier, Emmanuel 3 2010 Exploration of beneficial and deleterious effects of inflammation in stroke: dynamics of inflammation cells. Zbl 1192.92025 Lelekov-Boissard, Taïssia; Chapuisat, Guillemette; Boissel, Jean-Pierre; Grenier, Emmanuel; Dronne, Marie-Aimée 3 2009 Anisotropy and dispersion in rotating fluids. (Anisotropie et dispersion dans les fluides tournants.) Zbl 0961.76085 Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 2 1999 Boundary layers of nonlinear characteristic parabolic systems. (Couches limites de systèmes paraboliques nonlinéaires caractéristiques.) Zbl 0863.35010 Grenier, Emmanuel 2 1996 On nonlinear Rayleigh-Taylor instabilities. Zbl 1177.35166 Desjardins, B.; Grenier, E. 2 2006 Oscillatory limits with varying spectrum. Zbl 1357.76076 Grenier, Emmanuel 2 2012 Theoretical investigation of the efficacy of antiangiogenic drugs combined to chemotherapy in xenografted mice. Zbl 1406.92315 Lignet, Floriane; Benzekry, S.; Wilson, Shelby; Billy, F.; Saut, Olivier; Tod, Michel; You, Benoit; Adda Berkane, A.; Kassour, S.; Wei, M. X.; Grenier, Emmanuel; Ribba, Benjamin 2 2013 Examples of the influence of the geometry on the propagation of progressive waves. Zbl 1171.35410 Dronne, M. A.; Descombes, S.; Grenier, E.; Gilquin, H. 2 2009 On certain oscillating singular limits. (Quelques limites singulières oscillantes.) Zbl 0873.35068 Grenier, E. 2 1995 Sharp bounds for the resolvent of linearized Navier Stokes equations in the half space around a shear profile. Zbl 1448.35364 Grenier, Emmanuel; Nguyen, Toan T. 2 2020 Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint. Zbl 0970.76027 Grenier, E. 1 1999 A zoology of boundary layers. Zbl 1185.76517 Gérard-Varet, D.; Grenier, E. 1 2002 Singular ordinary differential equations homogeneous of degree 0 near a codimension 2 set. Zbl 1286.37072 Bresch, D.; Desjardins, B.; Grenier, E. 1 2012 Boundary layers of parabolic systems. (Couches limites de systèmes paraboliques.) Zbl 0882.35012 Grenier, E. 1 1996 Some order-parameter methods with applications to cancer modelling. (Quelques méthodes de paramètre d’ordre avec applications à la modélisation de processus cancéreux.) Zbl 1359.92047 Bresch, D.; Colin, Th.; Grenier, E.; Ribba, B.; Saut, O.; Singh, O.; Verdier, C. 1 2007 A structural model of the VEGF signalling pathway: emergence of robustness and redundancy properties. Zbl 1259.92013 Lignet, Floriane; Calvez, Vincent; Grenier, Emmanuel; Ribba, Benjamin 1 2013 A phenomenological model of the growth of the necrotic area in ischemic stroke. Zbl 1198.37124 Grenier, E.; Bresch, D.; Dronne, M.-A.; Hommel, M.; Boissel, J.-P. 1 2010 Plasma echoes near stable Penrose data. Zbl 1509.35315 Grenier, Emmanuel; Nguyen, Toan T.; Rodnianski, Igor 4 2022 Landau damping for analytic and Gevrey data. Zbl 1496.35080 Grenier, Emmanuel; Nguyen, Toan T.; Rodnianski, Igor 10 2021 Generator functions and their applications. Zbl 1473.35007 Grenier, Emmanuel; Nguyen, Toan T. 3 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 Derivation of the ion equation. Zbl 1431.35127 Grenier, E.; Guo, Y.; Pausader, B.; Suzuki, M. 7 2020 Sharp bounds for the resolvent of linearized Navier Stokes equations in the half space around a shear profile. Zbl 1448.35364 Grenier, Emmanuel; Nguyen, Toan T. 2 2020 \(L^\infty\) instability of Prandtl layers. Zbl 1436.35037 Grenier, Emmanuel; Nguyen, Toan T. 29 2019 Green function of Orr-Sommerfeld equations away from critical layers. Zbl 1414.35149 Grenier, Emmanuel; Nguyen, Toan T. 8 2019 Sublayer of Prandtl boundary layers. Zbl 1402.35206 Grenier, Emmanuel; Nguyen, Toan T. 15 2018 Spectral instability of characteristic boundary layer flows. Zbl 1359.35129 Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T. 68 2016 Spectral instability of general symmetric shear flows in a two-dimensional channel. Zbl 1382.76079 Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T. 47 2016 Spectral stability of Prandtl boundary layers: an overview. Zbl 1327.76065 Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T. 33 2015 Parameter estimation in non-linear mixed effects models with SAEM algorithm: extension from ODE to PDE. Zbl 1301.35177 Grenier, E.; Louvet, V.; Vigneaux, P. 3 2014 Mathematical model of cancer growth controled by metronomic chemotherapies. Zbl 1336.92035 André, N.; Barbolosi, D.; Billy, F.; Chapuisat, G.; Hubert, F.; Grenier, E.; Rovini, A. 7 2013 Theoretical investigation of the efficacy of antiangiogenic drugs combined to chemotherapy in xenografted mice. Zbl 1406.92315 Lignet, Floriane; Benzekry, S.; Wilson, Shelby; Billy, F.; Saut, Olivier; Tod, Michel; You, Benoit; Adda Berkane, A.; Kassour, S.; Wei, M. X.; Grenier, Emmanuel; Ribba, Benjamin 2 2013 A structural model of the VEGF signalling pathway: emergence of robustness and redundancy properties. Zbl 1259.92013 Lignet, Floriane; Calvez, Vincent; Grenier, Emmanuel; Ribba, Benjamin 1 2013 Oscillatory limits with varying spectrum. Zbl 1357.76076 Grenier, Emmanuel 2 2012 Singular ordinary differential equations homogeneous of degree 0 near a codimension 2 set. Zbl 1286.37072 Bresch, D.; Desjardins, B.; Grenier, E. 1 2012 Global weak solutions to a generic two-fluid model. Zbl 1193.35146 Bresch, D.; Desjardins, B.; Ghidaglia, J.-M.; Grenier, E. 39 2010 Computational modeling of solid tumor growth: the avascular stage. Zbl 1214.92039 Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier 34 2010 Oscillatory limits with changing eigenvalues: a formal study. Zbl 1195.35251 Bresch, Didier; Desjardins, Benoît; Grenier, Emmanuel 3 2010 A phenomenological model of the growth of the necrotic area in ischemic stroke. Zbl 1198.37124 Grenier, E.; Bresch, D.; Dronne, M.-A.; Hommel, M.; Boissel, J.-P. 1 2010 A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy. Zbl 1402.92050 Billy, Frédérique; Ribba, Benjamin; Saut, Olivier; Morre-Trouilhet, Hélène; Colin, Thierry; Bresch, Didier; Boissel, Jean-Pierre; Grenier, Emmanuel; Flandrois, Jean-Pierre 20 2009 A viscoelastic model for avascular tumor growth. Zbl 1185.92059 Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier 15 2009 Exploration of beneficial and deleterious effects of inflammation in stroke: dynamics of inflammation cells. Zbl 1192.92025 Lelekov-Boissard, Taïssia; Chapuisat, Guillemette; Boissel, Jean-Pierre; Grenier, Emmanuel; Dronne, Marie-Aimée 3 2009 Examples of the influence of the geometry on the propagation of progressive waves. Zbl 1171.35410 Dronne, M. A.; Descombes, S.; Grenier, E.; Gilquin, H. 2 2009 Some order-parameter methods with applications to cancer modelling. (Quelques méthodes de paramètre d’ordre avec applications à la modélisation de processus cancéreux.) Zbl 1359.92047 Bresch, D.; Colin, Th.; Grenier, E.; Ribba, B.; Saut, O.; Singh, O.; Verdier, C. 1 2007 Mathematical geophysics. An introduction to rotating fluids and the Navier-Stokes equations. Zbl 1205.86001 Chemin, Jean-Yves; Desjardins, Benoit; Gallagher, Isabelle; Grenier, Emmanuel 158 2006 A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents. Zbl 1447.92105 Ribba, B.; Saut, O.; Colin, T.; Bresch, D.; Grenier, Emmanuel; Boissel, J. P. 15 2006 Derivation of the planetary geostrophic equations. Zbl 1104.76081 Bresch, Didier; Gérard-Varet, David; Grenier, Emmanuel 4 2006 A mathematical model of ion movements in grey matter during a stroke. Zbl 1447.92087 Dronne, Marie-Aimée; Boissel, Jean-Pierre; Grenier, Emmanuel 4 2006 On nonlinear Rayleigh-Taylor instabilities. Zbl 1177.35166 Desjardins, B.; Grenier, E. 2 2006 Existence and nonexistence of traveling wave solutions for a bistable reaction-diffusion equation in an infinite cylinder whose diameter is suddenly increased. Zbl 1087.35052 Chapuisat, Guillemette; Grenier, Emmanuel 17 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 Boundary layers. Zbl 1221.76082 Grenier, Emmanuel 11 2004 Boundary layer instability at the top of the Earth’s outer core. Zbl 1107.86006 Desjardins, Benoît; Dormy, Emmanuel; Grenier, Emmanuel 3 2004 Linear instability implies nonlinear instability for various types of viscous boundary layers. (Stabilité linéaire implique stabilité non linéaire pour diverses couches limites visqueuses.) Zbl 1114.76024 Desjardins, B.; Grenier, E. 9 2003 Anisotropy and dispersion in rotating fluids. Zbl 1034.35107 Chemin, J.-Y.; Desjardins, B.; Gallagher, I.; Grenier, E. 53 2002 Low Mach number limit of viscous polytropic flows: formal asymptotics in the periodic case. Zbl 1114.76347 Bresch, D.; Desjardins, B.; Grenier, E.; Lin, C.-K. 46 2002 Ekman boundary layers in rotating fluids. Zbl 1070.35505 Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 17 2002 A zoology of boundary layers. Zbl 1185.76517 Gérard-Varet, D.; Grenier, E. 1 2002 Stabilizing effects of dispersion management. Zbl 0972.78021 Zharnitsky, Vadim; Grenier, Emmanuel; Jones, Christopher K. R. T.; Turitsyn, Sergei K. 45 2001 Stability of one-dimensional boundary layers by using Green’s functions. Zbl 1026.35015 Grenier, Emmanuel; Rousset, Frédéric 25 2001 Numerical boundary layers for hyperbolic systems in 1-D. Zbl 0980.65093 Chainais-Hillairet, Claire; Grenier, Emmanuel 6 2001 On the nonlinear instability of Euler and Prandtl equations. Zbl 1048.35081 Grenier, Emmanuel 133 2000 Quasineutral limit of an Euler-Poisson system arising from plasma physics. Zbl 0978.82086 Cordier, Stéphane; Grenier, Emmanuel 113 2000 Fluids with anisotropic viscosity. Zbl 0954.76012 Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 88 2000 Two-stream instabilities in plasmas. Zbl 1002.82029 Cordier, S.; Grenier, E.; Guo, Y. 15 2000 On the stability of boundary layers of incompressible Euler equations. Zbl 0958.35106 Grenier, E. 11 2000 Low Mach number limit of viscous compressible flows in the whole space. Zbl 0934.76080 Desjardins, Benoit; Grenier, E. 117 1999 Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions. Zbl 0992.35067 Desjardins, B.; Grenier, E.; Lions, P.-L.; Masmoudi, N. 97 1999 On the derivation of homogeneous hydrostatic equations. Zbl 0947.76013 Grenier, Emmanuel 33 1999 On the homogeneous model of wind-driven ocean circulation. Zbl 0958.76092 Desjardins, B.; Grenier, E. 24 1999 Stability of mixed Ekman-Hartmann boundary layers. Zbl 0939.35151 Desjardins, B.; Dormy, E.; Grenier, E. 23 1999 Anisotropy and dispersion in rotating fluids. (Anisotropie et dispersion dans les fluides tournants.) Zbl 0961.76085 Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 2 1999 Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint. Zbl 0970.76027 Grenier, E. 1 1999 Sticky particles and scalar conservation laws. Zbl 0924.35080 Brenier, Yann; Grenier, Emmanuel 175 1998 Semiclassical limit of the nonlinear Schrödinger equation in small time. Zbl 0910.35115 Grenier, E. 64 1998 Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems. Zbl 0896.35078 Grenier, Emmanuel; Guès, Olivier 53 1998 Derivation of quasi-geostrophic potential vorticity equations. Zbl 0967.76096 Desjardins, B.; Grenier, E. 20 1998 The convergence of the SPH method. Zbl 0906.76065 Di Lisio, R.; Grenier, E.; Pulvirenti, M. 12 1998 Quasineutral limit in dimension 1. (Limite quasineutre en dimension 1.) Zbl 1008.35054 Grenier, Emmanuel 9 1998 Oscillatory perturbations of the Navier-Stokes equations. Zbl 0885.35090 Grenier, E. 61 1997 Ekman layers of rotating fluids, the case of well prepared initial data. Zbl 0880.35093 Grenier, E.; Masmoudi, N. 52 1997 Pseudo-differential energy estimates of singular perturbations. Zbl 0884.35183 Grenier, E. 39 1997 Boundary layers for parabolic regularizations of totally characteristic quasilinear parabolic equations. Zbl 0914.35032 Grenier, E. 10 1997 On the regularization of the pressure field in compressible Euler equations. Zbl 0891.35123 Di Lisio, R.; Grenier, E.; Pulvirenti, M. 4 1997 Oscillations in quasineutral plasmas. Zbl 0849.35107 Grenier, Emmanuel 46 1996 Boundary layers of nonlinear characteristic parabolic systems. (Couches limites de systèmes paraboliques nonlinéaires caractéristiques.) Zbl 0863.35010 Grenier, Emmanuel 2 1996 Boundary layers of parabolic systems. (Couches limites de systèmes paraboliques.) Zbl 0882.35012 Grenier, E. 1 1996 Defect measures of the Vlasov-Poisson system in the quasineutral regime. Zbl 0828.35106 Grenier, E. 28 1995 Global existence for zero pressure gas dynamics. (Existence globale pour le système des gaz sans pression.) Zbl 0837.35088 Grenier, Emmanuel 28 1995 Semiclassical limit of the nonlinear Schrödinger equation in small time. (Limite semi-classique de l’équation de Schrödinger non linéaire en temps petit.) Zbl 0835.35132 Grenier, Emmanuel 6 1995 Rotating fluids and inertial waves. (Fluides en rotation et ondes d’inertie.) Zbl 0843.35073 Grenier, Emmanuel 4 1995 On certain oscillating singular limits. (Quelques limites singulières oscillantes.) Zbl 0873.35068 Grenier, E. 2 1995 Singular limit of the Vlasov-Poisson system in the quasi-neutral regime: The time independent case. (Limite singulière du système de Vlasov-Poisson dans le régime de quasi neutralité: Le cas indépendant du temps.) Zbl 0803.35110 Brenier, Yann; Grenier, Emmanuel 15 1994 all cited Publications top 5 cited Publications all top 5 Cited by 1,452 Authors 32 Grenier, Emmanuel 28 Masmoudi, Nader 28 Wang, Shu 23 Rousset, Frédéric 22 Nguyen, Toan Trong 21 Gérard-Varet, David 21 Zhang, Ping 20 Feireisl, Eduard 20 Ju, Qiangchang 17 Saint-Raymond, Laure 16 Bresch, Didier 16 Degond, Pierre 16 Han-Kwan, Daniel 16 Temam, Roger Meyer 16 Yang, Jianwei 15 Guo, Yan 15 Li, Fucai 15 Zhang, Zhifei 14 Gallagher, Isabelle 14 Liu, Cheng-Jie 14 Ou, Yaobin 14 Peng, Yuejun 14 Yang, Tong 13 Donatelli, Donatella 13 Paicu, Marius 13 Wen, Huanyao 12 Desjardins, Benoît 12 Fanelli, Francesco 12 Jung, Changyeol 12 Lee, Young-Ran 12 Lin, Chikun 12 Perthame, Benoît 12 Titi, Edriss Saleh 12 Zhang, Yu 11 Carles, Rémi 11 Jiang, Song 11 Li, Yeping 11 Schochet, Steven H. 11 Zhang, Yanyan 10 Chemin, Jean-Yves 10 Colin, Thierry 10 Kwon, Young-Sam 10 Novotný, Antonín 10 Vicol, Vlad C. 10 Yang, Hanchun 9 Dalibard, Anne-Laure 9 Hundertmark, Dirk 9 Kukavica, Igor 9 Pu, Xueke 9 Wang, Ya-Guang 9 Yao, Lei 8 Berthelin, Florent 8 Blokhin, Aleksandr Mikhaĭlovich 8 Brenier, Yann 8 Charve, Frédéric 8 Choi, Mi-Ran 8 Coti Zelati, Michele 8 Evje, Steinar 8 Iyer, Sameer 8 Natalini, Roberto 8 Nedeljkov, Marko 8 Scrobogna, Stefano 8 Sueur, Franck 8 Takada, Ryo 8 Tkachev, Dmitriĭ Leonidovich 8 Wang, Jinhuan 8 Zhang, Ting 8 Zumbrun, Kevin R. 7 Bedrossian, Jacob 7 Bianchini, Roberta 7 Fang, Daoyuan 7 Guès, Olivier 7 Iacobelli, Mikaela 7 Nečasová, Šárka 7 Pausader, Benoît 7 Saut, Olivier 7 Vignal, Marie-Hélène 7 Wei, Dongyi 7 Widmayer, Klaus 6 Alazard, Thomas 6 Carrillo de la Plata, José Antonio 6 Cheverry, Christophe 6 Hamouda, Makram 6 Hynd, Ryan 6 Ibrahim, Slim 6 Jiang, Ning 6 Jüngel, Ansgar 6 Li, Hailiang 6 Lin, Quyuan 6 Liu, Hailiang 6 Marcati, Pierangelo 6 Markowich, Peter Alexander 6 Mazzucato, Anna L. 6 Shen, Chun 6 Tzvetkov, Nikolay 6 Vasseur, Alexis F. 6 Wang, Jing 6 Wu, Kung-Chien 6 Xie, Feng 5 Caggio, Matteo ...and 1,352 more Authors all top 5 Cited in 219 Serials 114 Journal of Differential Equations 73 Archive for Rational Mechanics and Analysis 57 SIAM Journal on Mathematical Analysis 45 Journal of Mathematical Analysis and Applications 43 Communications in Mathematical Physics 41 Journal de Mathématiques Pures et Appliquées. Neuvième Série 41 Journal of Mathematical Fluid Mechanics 35 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 35 Communications in Partial Differential Equations 33 Physica D 26 Journal of Mathematical Physics 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Nonlinear Analysis. Real World Applications 22 Journal of Computational Physics 21 ZAMP. Zeitschrift für angewandte Mathematik und Physik 21 Discrete and Continuous Dynamical Systems 19 Communications on Pure and Applied Mathematics 17 Advances in Mathematics 17 Journal of Functional Analysis 15 Nonlinearity 15 Science China. Mathematics 14 Calculus of Variations and Partial Differential Equations 14 Journal of Theoretical Biology 13 Mathematical Methods in the Applied Sciences 13 Acta Applicandae Mathematicae 13 Journal of Evolution Equations 11 Proceedings of the American Mathematical Society 11 Chinese Annals of Mathematics. Series B 11 Journal of Nonlinear Science 11 Journal of Hyperbolic Differential Equations 10 Applied Mathematics Letters 10 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 10 Discrete and Continuous Dynamical Systems. Series B 10 Communications on Pure and Applied Analysis 9 Journal of Statistical Physics 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Quarterly of Applied Mathematics 8 Journal of Dynamics and Differential Equations 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Boundary Value Problems 8 Kinetic and Related Models 8 Séminaire Laurent Schwartz. EDP et Applications 7 Applicable Analysis 7 Journal of Fluid Mechanics 7 Applied Mathematics and Computation 7 Mathematische Annalen 7 Asymptotic Analysis 6 Computers & Mathematics with Applications 6 Bulletin of Mathematical Biology 6 European Journal of Mechanics. B. Fluids 6 Annals of PDE 5 Numerische Mathematik 5 Transactions of the American Mathematical Society 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Analysis and Applications (Singapore) 5 Analysis & PDE 4 Journal of Mathematical Biology 4 Letters in Mathematical Physics 4 Mathematics of Computation 4 Chaos, Solitons and Fractals 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Memoirs of the American Mathematical Society 4 Revista Matemática Iberoamericana 4 SIAM Journal on Applied Mathematics 4 Bulletin of the American Mathematical Society. New Series 4 NoDEA. Nonlinear Differential Equations and Applications 4 Communications in Contemporary Mathematics 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 SN Partial Differential Equations and Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Mathematical Biosciences 3 Mathematical Notes 3 Annales de l’Institut Fourier 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Optimization 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Mathematische Zeitschrift 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of the American Mathematical Society 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Annales Mathématiques Blaise Pascal 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of Inequalities and Applications 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series 3 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Mathematical Physics 3 Stochastic and Partial Differential Equations. Analysis and Computations 3 Journal de l’École Polytechnique – Mathématiques 3 AIMS Mathematics 3 Peking Mathematical Journal 3 SMAI Journal of Computational Mathematics 3 Electronic Research Archive 2 Classical and Quantum Gravity 2 Computers and Fluids 2 Geophysical and Astrophysical Fluid Dynamics ...and 119 more Serials all top 5 Cited in 39 Fields 1,219 Partial differential equations (35-XX) 924 Fluid mechanics (76-XX) 111 Statistical mechanics, structure of matter (82-XX) 90 Biology and other natural sciences (92-XX) 84 Geophysics (86-XX) 82 Numerical analysis (65-XX) 52 Optics, electromagnetic theory (78-XX) 46 Quantum theory (81-XX) 42 Probability theory and stochastic processes (60-XX) 36 Dynamical systems and ergodic theory (37-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 23 Mechanics of deformable solids (74-XX) 21 Ordinary differential equations (34-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Functional analysis (46-XX) 15 Mechanics of particles and systems (70-XX) 12 Operations research, mathematical programming (90-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Operator theory (47-XX) 7 Real functions (26-XX) 7 Relativity and gravitational theory (83-XX) 7 Astronomy and astrophysics (85-XX) 6 Approximations and expansions (41-XX) 6 Systems theory; control (93-XX) 5 Measure and integration (28-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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