Edit Profile (opens in new tab) Grenier, Emmanuel Compute Distance To: Compute 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: 90 Publications since 1994, including 1 Book 1 Contribution as Editor Reviewing Activity: 6 Reviews Co-Authors: 66 Co-Authors with 69 Joint Publications 1,535 Co-Co-Authors all top 5 Co-Authors 22 single-authored 22 Desjardins, Benoît 16 Bresch, Didier 12 Nguyen, Toan Trong 8 Ribba, Benjamin 6 Chemin, Jean-Yves 6 Gallagher, Isabelle 6 Guo, Yan 6 Saut, Olivier 5 Boissel, Jean-Pierre 5 Colin, Thierry 4 Dronne, Marie-Aimée 4 Vigneaux, Paul 3 Billy, Frédérique 3 Chapuisat, Guillemette 3 Louvet, Violaine 3 Rousset, Frédéric 2 Brenier, Yann 2 Calvez, Vincent 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 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 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 Wilson, Shelby N. 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 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 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 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 76 Partial differential equations (35-XX) 56 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) 3 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 75 Publications have been cited 1,769 times in 1,188 Documents Cited by ▼ Year ▼ Sticky particles and scalar conservation laws. Zbl 0924.35080Brenier, Yann; Grenier, Emmanuel 159 1998 On the nonlinear instability of Euler and Prandtl equations. Zbl 1048.35081Grenier, Emmanuel 119 2000 Mathematical geophysics. An introduction to rotating fluids and the Navier-Stokes equations. Zbl 1205.86001Chemin, Jean-Yves; Desjardins, Benoit; Gallagher, Isabelle; Grenier, Emmanuel 114 2006 Quasineutral limit of an Euler-Poisson system arising from plasma physics. Zbl 0978.82086Cordier, Stéphane; Grenier, Emmanuel 103 2000 Low Mach number limit of viscous compressible flows in the whole space. Zbl 0934.76080Desjardins, Benoit; Grenier, E. 100 1999 Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions. Zbl 0992.35067Desjardins, B.; Grenier, E.; Lions, P.-L.; Masmoudi, N. 82 1999 Fluids with anisotropic viscosity. Zbl 0954.76012Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 77 2000 Oscillatory perturbations of the Navier-Stokes equations. Zbl 0885.35090Grenier, E. 59 1997 Semiclassical limit of the nonlinear Schrödinger equation in small time. Zbl 0910.35115Grenier, E. 58 1998 Ekman layers of rotating fluids, the case of well prepared initial data. Zbl 0880.35093Grenier, E.; Masmoudi, N. 48 1997 Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems. Zbl 0896.35078Grenier, Emmanuel; Guès, Olivier 48 1998 Anisotropy and dispersion in rotating fluids. Zbl 1034.35107Chemin, J.-Y.; Desjardins, B.; Gallagher, I.; Grenier, E. 46 2002 Spectral instability of characteristic boundary layer flows. Zbl 1359.35129Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T. 46 2016 Oscillations in quasineutral plasmas. Zbl 0849.35107Grenier, Emmanuel 43 1996 Low Mach number limit of viscous polytropic flows: formal asymptotics in the periodic case. Zbl 1114.76347Bresch, D.; Desjardins, B.; Grenier, E.; Lin, C.-K. 41 2002 Stabilizing effects of dispersion management. Zbl 0972.78021Zharnitsky, Vadim; Grenier, Emmanuel; Jones, Christopher K. R. T.; Turitsyn, Sergei K. 40 2001 Pseudo-differential energy estimates of singular perturbations. Zbl 0884.35183Grenier, E. 36 1997 Spectral instability of general symmetric shear flows in a two-dimensional channel. Zbl 1382.76079Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T. 34 2016 Computational modeling of solid tumor growth: the avascular stage. Zbl 1214.92039Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier 31 2010 Global weak solutions to a generic two-fluid model. Zbl 1193.35146Bresch, D.; Desjardins, B.; Ghidaglia, J.-M.; Grenier, E. 31 2010 On the derivation of homogeneous hydrostatic equations. Zbl 0947.76013Grenier, Emmanuel 28 1999 Defect measures of the Vlasov-Poisson system in the quasineutral regime. Zbl 0828.35106Grenier, E. 27 1995 Stability of mixed Ekman-Hartmann boundary layers. Zbl 0939.35151Desjardins, B.; Dormy, E.; Grenier, E. 23 1999 Spectral stability of Prandtl boundary layers: an overview. Zbl 1327.76065Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T. 23 2015 Stability of one-dimensional boundary layers by using Green’s functions. Zbl 1026.35015Grenier, Emmanuel; Rousset, Frédéric 22 2001 On the homogeneous model of wind-driven ocean circulation. Zbl 0958.76092Desjardins, B.; Grenier, E. 21 1999 Global existence for zero pressure gas dynamics. (Existence globale pour le système des gaz sans pression.) Zbl 0837.35088Grenier, Emmanuel 21 1995 Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method. Zbl 1447.35247Grenier, Emmanuel; Nguyen, Toan T.; Rousset, Frédéric; Soffer, Avy 19 2020 A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy. Zbl 1402.92050Billy, Frédérique; Ribba, Benjamin; Saut, Olivier; Morre-Trouilhet, Hélène; Colin, Thierry; Bresch, Didier; Boissel, Jean-Pierre; Grenier, Emmanuel; Flandrois, Jean-Pierre 18 2009 Derivation of quasi-geostrophic potential vorticity equations. Zbl 0967.76096Desjardins, B.; Grenier, E. 18 1998 Ekman boundary layers in rotating fluids. Zbl 1070.35505Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 17 2002 \(L^\infty\) instability of Prandtl layers. Zbl 1436.35037Grenier, Emmanuel; Nguyen, Toan T. 15 2019 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 0803.35110Brenier, Yann; Grenier, Emmanuel 14 1994 Existence and nonexistence of traveling wave solutions for a bistable reaction-diffusion equation in an infinite cylinder whose diameter is suddenly increased. Zbl 1087.35052Chapuisat, Guillemette; Grenier, Emmanuel 14 2005 Two-stream instabilities in plasmas. Zbl 1002.82029Cordier, S.; Grenier, E.; Guo, Y. 12 2000 A viscoelastic model for avascular tumor growth. Zbl 1185.92059Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier 12 2009 On the stability of boundary layers of incompressible Euler equations. Zbl 0958.35106Grenier, E. 10 2000 The convergence of the SPH method. Zbl 0906.76065Di Lisio, R.; Grenier, E.; Pulvirenti, M. 10 1998 Sublayer of Prandtl boundary layers. Zbl 1402.35206Grenier, Emmanuel; Nguyen, Toan T. 10 2018 Boundary layers. Zbl 1221.76082Grenier, Emmanuel 10 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 1114.76024Desjardins, B.; Grenier, E. 9 2003 Boundary layers for parabolic regularizations of totally characteristic quasilinear parabolic equations. Zbl 0914.35032Grenier, E. 8 1997 Quasineutral limit in dimension 1. (Limite quasineutre en dimension 1.) Zbl 1008.35054Grenier, Emmanuel 7 1998 Mathematical model of cancer growth controled by metronomic chemotherapies. Zbl 1336.92035André, N.; Barbolosi, D.; Billy, F.; Chapuisat, G.; Hubert, F.; Grenier, E.; Rovini, A. 7 2013 Semiclassical limit of the nonlinear Schrödinger equation in small time. (Limite semi-classique de l’équation de Schrödinger non linéaire en temps petit.) Zbl 0835.35132Grenier, Emmanuel 6 1995 Numerical boundary layers for hyperbolic systems in 1-D. Zbl 0980.65093Chainais-Hillairet, Claire; Grenier, Emmanuel 6 2001 Green function of Orr-Sommerfeld equations away from critical layers. Zbl 1414.35149Grenier, Emmanuel; Nguyen, Toan T. 6 2019 A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents. Zbl 1447.92105Ribba, B.; Saut, O.; Colin, T.; Bresch, D.; Grenier, Emmanuel; Boissel, J. P. 5 2006 Rotating fluids and inertial waves. (Fluides en rotation et ondes d’inertie.) Zbl 0843.35073Grenier, Emmanuel 4 1995 Derivation of the ion equation. Zbl 1431.35127Grenier, E.; Guo, Y.; Pausader, B.; Suzuki, M. 4 2020 On the regularization of the pressure field in compressible Euler equations. Zbl 0891.35123Di Lisio, R.; Grenier, E.; Pulvirenti, M. 3 1997 Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory. Zbl 1067.35073Grenier, Emmanuel; Jones, Christopher K. R. T.; Rousset, Frederic; Sandstede, Björn 3 2005 Oscillatory limits with changing eigenvalues: a formal study. Zbl 1195.35251Bresch, Didier; Desjardins, Benoît; Grenier, Emmanuel 3 2010 Boundary layer instability at the top of the Earth’s outer core. Zbl 1107.86006Desjardins, Benoît; Dormy, Emmanuel; Grenier, Emmanuel 3 2004 Parameter estimation in non-linear mixed effects models with SAEM algorithm: extension from ODE to PDE. Zbl 1301.35177Grenier, E.; Louvet, V.; Vigneaux, P. 3 2014 Derivation of the planetary geostrophic equations. Zbl 1104.76081Bresch, Didier; Gérard-Varet, David; Grenier, Emmanuel 3 2006 A mathematical model of ion movements in grey matter during a stroke. Zbl 1447.92087Dronne, Marie-Aimée; Boissel, Jean-Pierre; Grenier, Emmanuel 2 2006 Theoretical investigation of the efficacy of antiangiogenic drugs combined to chemotherapy in xenografted mice. Zbl 1406.92315Lignet, 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 Generator functions and their applications. Zbl 1473.35007Grenier, Emmanuel; Nguyen, Toan T. 2 2021 Boundary layers of nonlinear characteristic parabolic systems. (Couches limites de systèmes paraboliques nonlinéaires caractéristiques.) Zbl 0863.35010Grenier, Emmanuel 2 1996 On certain oscillating singular limits. (Quelques limites singulières oscillantes.) Zbl 0873.35068Grenier, E. 2 1995 Anisotropy and dispersion in rotating fluids. (Anisotropie et dispersion dans les fluides tournants.) Zbl 0961.76085Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 2 1999 Exploration of beneficial and deleterious effects of inflammation in stroke: dynamics of inflammation cells. Zbl 1192.92025Lelekov-Boissard, Taïssia; Chapuisat, Guillemette; Boissel, Jean-Pierre; Grenier, Emmanuel; Dronne, Marie-Aimée 2 2009 Examples of the influence of the geometry on the propagation of progressive waves. Zbl 1171.35410Dronne, M. A.; Descombes, S.; Grenier, E.; Gilquin, H. 2 2009 Oscillatory limits with varying spectrum. Zbl 1357.76076Grenier, Emmanuel 2 2012 On nonlinear Rayleigh-Taylor instabilities. Zbl 1177.35166Desjardins, B.; Grenier, E. 2 2006 Landau damping for analytic and Gevrey data. Zbl 1496.35080Grenier, Emmanuel; Nguyen, Toan T.; Rodnianski, Igor 2 2021 Some order-parameter methods with applications to cancer modelling. (Quelques méthodes de paramètre d’ordre avec applications à la modélisation de processus cancéreux.) Zbl 1359.92047Bresch, D.; Colin, Th.; Grenier, E.; Ribba, B.; Saut, O.; Singh, O.; Verdier, C. 1 2007 Boundary layers of parabolic systems. (Couches limites de systèmes paraboliques.) Zbl 0882.35012Grenier, E. 1 1996 Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint. Zbl 0970.76027Grenier, E. 1 1999 A phenomenological model of the growth of the necrotic area in ischemic stroke. Zbl 1198.37124Grenier, E.; Bresch, D.; Dronne, M.-A.; Hommel, M.; Boissel, J.-P. 1 2010 A zoology of boundary layers. Zbl 1185.76517Gérard-Varet, D.; Grenier, E. 1 2002 Plasma echoes near stable Penrose data. Zbl 07475773Grenier, Emmanuel; Nguyen, Toan T.; Rodnianski, Igor 1 2022 Singular ordinary differential equations homogeneous of degree 0 near a codimension 2 set. Zbl 1286.37072Bresch, D.; Desjardins, B.; Grenier, E. 1 2012 A structural model of the VEGF signalling pathway: emergence of robustness and redundancy properties. Zbl 1259.92013Lignet, Floriane; Calvez, Vincent; Grenier, Emmanuel; Ribba, Benjamin 1 2013 Plasma echoes near stable Penrose data. Zbl 07475773Grenier, Emmanuel; Nguyen, Toan T.; Rodnianski, Igor 1 2022 Generator functions and their applications. Zbl 1473.35007Grenier, Emmanuel; Nguyen, Toan T. 2 2021 Landau damping for analytic and Gevrey data. Zbl 1496.35080Grenier, Emmanuel; Nguyen, Toan T.; Rodnianski, Igor 2 2021 Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method. Zbl 1447.35247Grenier, Emmanuel; Nguyen, Toan T.; Rousset, Frédéric; Soffer, Avy 19 2020 Derivation of the ion equation. Zbl 1431.35127Grenier, E.; Guo, Y.; Pausader, B.; Suzuki, M. 4 2020 \(L^\infty\) instability of Prandtl layers. Zbl 1436.35037Grenier, Emmanuel; Nguyen, Toan T. 15 2019 Green function of Orr-Sommerfeld equations away from critical layers. Zbl 1414.35149Grenier, Emmanuel; Nguyen, Toan T. 6 2019 Sublayer of Prandtl boundary layers. Zbl 1402.35206Grenier, Emmanuel; Nguyen, Toan T. 10 2018 Spectral instability of characteristic boundary layer flows. Zbl 1359.35129Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T. 46 2016 Spectral instability of general symmetric shear flows in a two-dimensional channel. Zbl 1382.76079Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T. 34 2016 Spectral stability of Prandtl boundary layers: an overview. Zbl 1327.76065Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T. 23 2015 Parameter estimation in non-linear mixed effects models with SAEM algorithm: extension from ODE to PDE. Zbl 1301.35177Grenier, E.; Louvet, V.; Vigneaux, P. 3 2014 Mathematical model of cancer growth controled by metronomic chemotherapies. Zbl 1336.92035André, 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 1406.92315Lignet, 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 1259.92013Lignet, Floriane; Calvez, Vincent; Grenier, Emmanuel; Ribba, Benjamin 1 2013 Oscillatory limits with varying spectrum. Zbl 1357.76076Grenier, Emmanuel 2 2012 Singular ordinary differential equations homogeneous of degree 0 near a codimension 2 set. Zbl 1286.37072Bresch, D.; Desjardins, B.; Grenier, E. 1 2012 Computational modeling of solid tumor growth: the avascular stage. Zbl 1214.92039Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier 31 2010 Global weak solutions to a generic two-fluid model. Zbl 1193.35146Bresch, D.; Desjardins, B.; Ghidaglia, J.-M.; Grenier, E. 31 2010 Oscillatory limits with changing eigenvalues: a formal study. Zbl 1195.35251Bresch, Didier; Desjardins, Benoît; Grenier, Emmanuel 3 2010 A phenomenological model of the growth of the necrotic area in ischemic stroke. Zbl 1198.37124Grenier, 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 1402.92050Billy, Frédérique; Ribba, Benjamin; Saut, Olivier; Morre-Trouilhet, Hélène; Colin, Thierry; Bresch, Didier; Boissel, Jean-Pierre; Grenier, Emmanuel; Flandrois, Jean-Pierre 18 2009 A viscoelastic model for avascular tumor growth. Zbl 1185.92059Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier 12 2009 Exploration of beneficial and deleterious effects of inflammation in stroke: dynamics of inflammation cells. Zbl 1192.92025Lelekov-Boissard, Taïssia; Chapuisat, Guillemette; Boissel, Jean-Pierre; Grenier, Emmanuel; Dronne, Marie-Aimée 2 2009 Examples of the influence of the geometry on the propagation of progressive waves. Zbl 1171.35410Dronne, 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 1359.92047Bresch, 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 1205.86001Chemin, Jean-Yves; Desjardins, Benoit; Gallagher, Isabelle; Grenier, Emmanuel 114 2006 A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents. Zbl 1447.92105Ribba, B.; Saut, O.; Colin, T.; Bresch, D.; Grenier, Emmanuel; Boissel, J. P. 5 2006 Derivation of the planetary geostrophic equations. Zbl 1104.76081Bresch, Didier; Gérard-Varet, David; Grenier, Emmanuel 3 2006 A mathematical model of ion movements in grey matter during a stroke. Zbl 1447.92087Dronne, Marie-Aimée; Boissel, Jean-Pierre; Grenier, Emmanuel 2 2006 On nonlinear Rayleigh-Taylor instabilities. Zbl 1177.35166Desjardins, 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 1087.35052Chapuisat, Guillemette; Grenier, Emmanuel 14 2005 Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory. Zbl 1067.35073Grenier, Emmanuel; Jones, Christopher K. R. T.; Rousset, Frederic; Sandstede, Björn 3 2005 Boundary layers. Zbl 1221.76082Grenier, Emmanuel 10 2004 Boundary layer instability at the top of the Earth’s outer core. Zbl 1107.86006Desjardins, 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 1114.76024Desjardins, B.; Grenier, E. 9 2003 Anisotropy and dispersion in rotating fluids. Zbl 1034.35107Chemin, J.-Y.; Desjardins, B.; Gallagher, I.; Grenier, E. 46 2002 Low Mach number limit of viscous polytropic flows: formal asymptotics in the periodic case. Zbl 1114.76347Bresch, D.; Desjardins, B.; Grenier, E.; Lin, C.-K. 41 2002 Ekman boundary layers in rotating fluids. Zbl 1070.35505Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 17 2002 A zoology of boundary layers. Zbl 1185.76517Gérard-Varet, D.; Grenier, E. 1 2002 Stabilizing effects of dispersion management. Zbl 0972.78021Zharnitsky, Vadim; Grenier, Emmanuel; Jones, Christopher K. R. T.; Turitsyn, Sergei K. 40 2001 Stability of one-dimensional boundary layers by using Green’s functions. Zbl 1026.35015Grenier, Emmanuel; Rousset, Frédéric 22 2001 Numerical boundary layers for hyperbolic systems in 1-D. Zbl 0980.65093Chainais-Hillairet, Claire; Grenier, Emmanuel 6 2001 On the nonlinear instability of Euler and Prandtl equations. Zbl 1048.35081Grenier, Emmanuel 119 2000 Quasineutral limit of an Euler-Poisson system arising from plasma physics. Zbl 0978.82086Cordier, Stéphane; Grenier, Emmanuel 103 2000 Fluids with anisotropic viscosity. Zbl 0954.76012Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 77 2000 Two-stream instabilities in plasmas. Zbl 1002.82029Cordier, S.; Grenier, E.; Guo, Y. 12 2000 On the stability of boundary layers of incompressible Euler equations. Zbl 0958.35106Grenier, E. 10 2000 Low Mach number limit of viscous compressible flows in the whole space. Zbl 0934.76080Desjardins, Benoit; Grenier, E. 100 1999 Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions. Zbl 0992.35067Desjardins, B.; Grenier, E.; Lions, P.-L.; Masmoudi, N. 82 1999 On the derivation of homogeneous hydrostatic equations. Zbl 0947.76013Grenier, Emmanuel 28 1999 Stability of mixed Ekman-Hartmann boundary layers. Zbl 0939.35151Desjardins, B.; Dormy, E.; Grenier, E. 23 1999 On the homogeneous model of wind-driven ocean circulation. Zbl 0958.76092Desjardins, B.; Grenier, E. 21 1999 Anisotropy and dispersion in rotating fluids. (Anisotropie et dispersion dans les fluides tournants.) Zbl 0961.76085Chemin, Jean-Yves; Desjardins, Benoît; Gallagher, Isabelle; Grenier, Emmanuel 2 1999 Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint. Zbl 0970.76027Grenier, E. 1 1999 Sticky particles and scalar conservation laws. Zbl 0924.35080Brenier, Yann; Grenier, Emmanuel 159 1998 Semiclassical limit of the nonlinear Schrödinger equation in small time. Zbl 0910.35115Grenier, E. 58 1998 Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems. Zbl 0896.35078Grenier, Emmanuel; Guès, Olivier 48 1998 Derivation of quasi-geostrophic potential vorticity equations. Zbl 0967.76096Desjardins, B.; Grenier, E. 18 1998 The convergence of the SPH method. Zbl 0906.76065Di Lisio, R.; Grenier, E.; Pulvirenti, M. 10 1998 Quasineutral limit in dimension 1. (Limite quasineutre en dimension 1.) Zbl 1008.35054Grenier, Emmanuel 7 1998 Oscillatory perturbations of the Navier-Stokes equations. Zbl 0885.35090Grenier, E. 59 1997 Ekman layers of rotating fluids, the case of well prepared initial data. Zbl 0880.35093Grenier, E.; Masmoudi, N. 48 1997 Pseudo-differential energy estimates of singular perturbations. Zbl 0884.35183Grenier, E. 36 1997 Boundary layers for parabolic regularizations of totally characteristic quasilinear parabolic equations. Zbl 0914.35032Grenier, E. 8 1997 On the regularization of the pressure field in compressible Euler equations. Zbl 0891.35123Di Lisio, R.; Grenier, E.; Pulvirenti, M. 3 1997 Oscillations in quasineutral plasmas. Zbl 0849.35107Grenier, Emmanuel 43 1996 Boundary layers of nonlinear characteristic parabolic systems. (Couches limites de systèmes paraboliques nonlinéaires caractéristiques.) Zbl 0863.35010Grenier, Emmanuel 2 1996 Boundary layers of parabolic systems. (Couches limites de systèmes paraboliques.) Zbl 0882.35012Grenier, E. 1 1996 Defect measures of the Vlasov-Poisson system in the quasineutral regime. Zbl 0828.35106Grenier, E. 27 1995 Global existence for zero pressure gas dynamics. (Existence globale pour le système des gaz sans pression.) Zbl 0837.35088Grenier, Emmanuel 21 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 0835.35132Grenier, Emmanuel 6 1995 Rotating fluids and inertial waves. (Fluides en rotation et ondes d’inertie.) Zbl 0843.35073Grenier, Emmanuel 4 1995 On certain oscillating singular limits. (Quelques limites singulières oscillantes.) Zbl 0873.35068Grenier, 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 0803.35110Brenier, Yann; Grenier, Emmanuel 14 1994 all cited Publications top 5 cited Publications all top 5 Cited by 1,244 Authors 31 Grenier, Emmanuel 28 Wang, Shu 24 Masmoudi, Nader 21 Rousset, Frédéric 20 Gérard-Varet, David 19 Feireisl, Eduard 19 Nguyen, Toan Trong 18 Ju, Qiangchang 17 Saint-Raymond, Laure 17 Zhang, Ping 16 Bresch, Didier 16 Degond, Pierre 16 Temam, Roger Meyer 15 Gallagher, Isabelle 15 Han-Kwan, Daniel 15 Yang, Jianwei 14 Li, Fucai 12 Desjardins, Benoît 12 Donatelli, Donatella 12 Lin, Chikun 12 Liu, Cheng-Jie 12 Ou, Yaobin 12 Peng, Yuejun 12 Wen, Huanyao 12 Yang, Tong 11 Carles, Rémi 11 Jiang, Song 11 Jung, Changyeol 11 Paicu, Marius 11 Zhang, Yanyan 11 Zhang, Yu 10 Chemin, Jean-Yves 10 Colin, Thierry 10 Fanelli, Francesco 10 Li, Yeping 10 Novotný, Antonín 10 Perthame, Benoît 10 Schochet, Steven H. 10 Titi, Edriss Saleh 10 Vicol, Vlad C. 9 Dalibard, Anne-Laure 9 Guo, Yan 9 Hundertmark, Dirk 9 Kukavica, Igor 9 Kwon, Young-Sam 9 Lee, Young-Ran 9 Pu, Xueke 9 Wang, Ya-Guang 9 Yang, Hanchun 8 Evje, Steinar 8 Nedeljkov, Marko 8 Sueur, Franck 8 Yao, Lei 8 Zhang, Zhifei 8 Zumbrun, Kevin R. 7 Berthelin, Florent 7 Blokhin, Aleksandr Mikhaĭlovich 7 Brenier, Yann 7 Fang, Daoyuan 7 Guès, Olivier 7 Natalini, Roberto 7 Saut, Olivier 7 Scrobogna, Stefano 7 Tkachev, Dmitriĭ Leonidovich 7 Vignal, Marie-Hélène 7 Wang, Jinhuan 7 Zhang, Ting 6 Bedrossian, Jacob 6 Charve, Frédéric 6 Coti Zelati, Michele 6 Hynd, Ryan 6 Iacobelli, Mikaela 6 Ibrahim, Slim 6 Iyer, Sameer 6 Jüngel, Ansgar 6 Liu, Hailiang 6 Marcati, Pierangelo 6 Markowich, Peter Alexander 6 Nečasová, Šárka 6 Shen, Chun 6 Takada, Ryo 6 Tzvetkov, Nikolay 6 Wang, Jing 6 Wu, Kung-Chien 6 Xie, Feng 5 Alazard, Thomas 5 Bianchini, Roberta 5 Carrillo de la Plata, José Antonio 5 Cheverry, Christophe 5 Choi, Mi-Ran 5 Danchin, Raphaël 5 Gie, Gung-Min 5 Gosse, Laurent 5 Hamel, François 5 Hamouda, Makram 5 Jiang, Ning 5 Jin, Shi 5 Kwon, Bongsuk 5 Liu, Jinjing 5 Mazzucato, Anna L. ...and 1,144 more Authors all top 5 Cited in 201 Serials 102 Journal of Differential Equations 70 Archive for Rational Mechanics and Analysis 47 SIAM Journal on Mathematical Analysis 43 Journal of Mathematical Analysis and Applications 39 Journal de Mathématiques Pures et Appliquées. Neuvième Série 37 Communications in Mathematical Physics 34 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 33 Communications in Partial Differential Equations 31 Physica D 31 Journal of Mathematical Fluid Mechanics 21 Journal of Mathematical Physics 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Journal of Computational Physics 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 19 Nonlinear Analysis. Real World Applications 18 Discrete and Continuous Dynamical Systems 15 Communications on Pure and Applied Mathematics 15 Advances in Mathematics 13 Journal of Functional Analysis 13 Journal of Theoretical Biology 11 Journal of Hyperbolic Differential Equations 10 Proceedings of the American Mathematical Society 10 Chinese Annals of Mathematics. Series B 10 Acta Applicandae Mathematicae 10 Journal of Nonlinear Science 10 Journal of Evolution Equations 10 Science China. Mathematics 9 Nonlinearity 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal of Statistical Physics 8 Quarterly of Applied Mathematics 8 Applied Mathematics Letters 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 Communications on Pure and Applied Analysis 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Séminaire Laurent Schwartz. EDP et Applications 7 Journal of Fluid Mechanics 7 Mathematical Methods in the Applied Sciences 7 Applied Mathematics and Computation 7 Mathematische Annalen 7 Calculus of Variations and Partial Differential Equations 7 Boundary Value Problems 6 Bulletin of Mathematical Biology 6 Journal of Dynamics and Differential Equations 6 European Journal of Mechanics. B. Fluids 6 Discrete and Continuous Dynamical Systems. Series B 5 Applicable Analysis 5 Computers & Mathematics with Applications 5 Numerische Mathematik 5 Transactions of the American Mathematical Society 5 Asymptotic Analysis 5 Kinetic and Related Models 4 Journal of Mathematical Biology 4 Mathematics of Computation 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Memoirs of the American Mathematical Society 4 Revista Matemática Iberoamericana 4 Bulletin of the American Mathematical Society. New Series 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Communications in Contemporary Mathematics 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Analysis and Applications (Singapore) 4 Analysis & PDE 4 Annals of PDE 3 Letters in Mathematical Physics 3 Mathematical Notes 3 Chaos, Solitons and Fractals 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 Annales Mathématiques Blaise Pascal 3 NoDEA. Nonlinear Differential Equations and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series 3 Advances in Mathematical Physics 3 Journal de l’École Polytechnique – Mathématiques 3 AIMS Mathematics 3 SN Partial Differential Equations and Applications 2 Computers and Fluids 2 Computer Methods in Applied Mechanics and Engineering 2 Geophysical and Astrophysical Fluid Dynamics 2 Journal d’Analyse Mathématique 2 Mathematical Biosciences 2 Physica A 2 Archiv der Mathematik 2 Publications Mathématiques 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Journal of the Korean Mathematical Society 2 Numerical Methods for Partial Differential Equations 2 Journal of the American Mathematical Society 2 Mathematical and Computer Modelling 2 Journal of Scientific Computing ...and 101 more Serials all top 5 Cited in 38 Fields 1,042 Partial differential equations (35-XX) 774 Fluid mechanics (76-XX) 99 Statistical mechanics, structure of matter (82-XX) 76 Biology and other natural sciences (92-XX) 72 Numerical analysis (65-XX) 68 Geophysics (86-XX) 44 Quantum theory (81-XX) 40 Optics, electromagnetic theory (78-XX) 35 Dynamical systems and ergodic theory (37-XX) 34 Probability theory and stochastic processes (60-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 21 Mechanics of deformable solids (74-XX) 15 Ordinary differential equations (34-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Functional analysis (46-XX) 12 Operations research, mathematical programming (90-XX) 11 Mechanics of particles and systems (70-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Operator theory (47-XX) 7 Astronomy and astrophysics (85-XX) 6 Real functions (26-XX) 6 Systems theory; control (93-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Relativity and gravitational theory (83-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Measure and integration (28-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-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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