Edit Profile (opens in new tab) Goudon, Thierry Compute Distance To: Compute Author ID: goudon.thierry Published as: Goudon, Thierry; Goudon, T.; Goudon, Th. more...less External Links: MGP · Wikidata · IdRef · theses.fr Documents Indexed: 128 Publications since 1997, including 3 Books 6 Contributions as Editor Co-Authors: 116 Co-Authors with 121 Joint Publications 2,413 Co-Co-Authors all top 5 Co-Authors 13 single-authored 8 Coulombel, Jean-François 8 Poupaud, Frédéric 8 Vasseur, Alexis F. 7 Calgaro, Caterina 7 Krell, Stella 7 Lafitte, Pauline 6 Besse, Christophe 6 Carrillo de la Plata, José Antonio 6 Creusé, Emmanuel 6 Lagoutière, Frédéric 5 Berthelin, Florent 5 Collet, Jean-François 5 Minjeaud, Sebastian 5 Ribot, Magali 4 Amorim, Paulo 4 Degond, Pierre 4 Dudon, Jean-Paul 4 Lin, Chunjin 4 Lissoni, Giulia 4 Mellet, Antoine 4 Tine, Léon Matar 4 Vavasseur, Arthur 3 Bostan, Mihai 3 Castella, François 3 Jin, Shi 3 Lacroix-Violet, Ingrid 3 Parisot, Martin 3 Polizzi, Bastien 3 Soler, Juan S. 3 Vivion, Léo 3 Yan, Bokai 2 Alonso, Ricardo J. 2 Barré, Julien 2 Borghol, Saja 2 Devys, Anne 2 Golse, François 2 Junca, Stéphane 2 Labarthe, Simon 2 Laroche, Beatrice 2 Liu, Jianguo 2 Llobell, Julie 2 Nieto, Juanjo 2 Peruani, Fernando 2 Rousset, Mathias 2 Saad, Mazen 2 Sánchez, Oscar 2 Sonnendrücker, Eric 2 Vauchelet, Nicolas 1 Anjuère, Fabienne 1 Atsou, Kevin 1 Ayi, Nathalie 1 Bernard-Champmartin, Aude 1 Berthon, Christophe 1 Blossey, Ralf 1 Bodart, Jean-François 1 Bonilla, Luis Lopez 1 Bonnaillie-Noël, Virginie 1 Boudin, Laurent 1 Boutin, Benjamin 1 Braeunig, Jean-Philippe 1 Braud, Véronique M. 1 Buet, Christophe 1 Cáceres, María-José 1 Caputo, M. Cristina 1 Chane-Kane, Emile 1 Charles, Frédérique 1 Chiron, David 1 Cordier, Stéphane 1 Crisan, Dan O. 1 Després, Bruno 1 Doumic, Marie 1 El Bouti, Tamara 1 Fochesato, Christophe 1 Fornet, Bruno 1 Frank, Martin 1 Martínez Gamba, Irene 1 Gilleron, Jérôme 1 Gloria, Antoine 1 Godillon-Lafitte, Pauline 1 Gómez Nava, Luis 1 Goubet, Olivier 1 Gutnic, Michaël 1 Hariz, Sara 1 He, Lingbing 1 Jabin, Pierre-Emmanuel 1 Jüngel, Ansgar 1 Lepoutre, Thomas 1 Lohrengel, Stephanie 1 Martin, Hugo 1 Masmoudi, Nader 1 Mauroy, Benjamin 1 Merlet, Benoît 1 Miljanović, Vera 1 Millet, Pascal 1 Monasse, Laurent 1 Morel, Jim E. 1 Moussa, Ayman 1 Navoret, Laurent 1 Nicaise, Serge 1 Nkonga, Boniface ...and 16 more Co-Authors all top 5 Serials 6 Journal of Computational Physics 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 SIAM Journal on Applied Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 4 Communications in Mathematical Sciences 4 Kinetic and Related Models 3 Journal of Statistical Physics 3 Nonlinearity 3 Journal of Differential Equations 3 Physica D 3 Journal of Scientific Computing 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 3 Multiscale Modeling & Simulation 3 Communications in Computational Physics 2 Journal of Mathematical Biology 2 Journal of Mathematical Physics 2 Transport Theory and Statistical Physics 2 Indiana University Mathematics Journal 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Asymptotic Analysis 2 Journal of Hyperbolic Differential Equations 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Analysis & PDE 2 Journal of Theoretical Biology 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Références Sciences 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Communications in Mathematical Physics 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 European Journal of Mechanics. B. Fluids 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 SIAM Journal on Scientific Computing 1 Bulletin des Sciences Mathématiques 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Revista Matemática Complutense 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 AMRX. Applied Mathematics Research eXpress 1 Panoramas et Synthèses 1 IRMA Lectures in Mathematics and Theoretical Physics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Networks and Heterogeneous Media 1 Matapli 1 Advances in Applied Mathematics and Mechanics 1 Journal de l’École Polytechnique – Mathématiques 1 Advances in Mathematical Fluid Mechanics 1 Tunisian Journal of Mathematics 1 Mathematics and Statistics Series all top 5 Fields 95 Partial differential equations (35-XX) 62 Statistical mechanics, structure of matter (82-XX) 50 Fluid mechanics (76-XX) 37 Numerical analysis (65-XX) 16 Biology and other natural sciences (92-XX) 10 Integral equations (45-XX) 9 General and overarching topics; collections (00-XX) 9 Mechanics of deformable solids (74-XX) 8 Mechanics of particles and systems (70-XX) 8 Optics, electromagnetic theory (78-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Astronomy and astrophysics (85-XX) 6 Quantum theory (81-XX) 5 Probability theory and stochastic processes (60-XX) 4 Ordinary differential equations (34-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 988 times in 663 Documents Cited by ▼ Year ▼ Stability and asymptotic analysis of a fluid-particle interaction model. Zbl 1105.35088Carrillo, José A.; Goudon, Thierry 66 2006 Hydrodynamic limit for the Vlasov-Navier-Stokes equations. I: Light particles regime. II: Fine particles regime. Zbl 1085.35117Goudon, Thierry; Jabin, Pierre-Emmanuel; Vasseur, Alexis 63 2004 Shock profiles for non-equilibrium radiating gases. Zbl 1096.35086Lin, Chunjin; Coulombel, Jean-François; Goudon, Thierry 49 2006 On Boltzmann equations and Fokker-Planck asymptotics: Influence of grazing collisions. Zbl 0918.35136Goudon, T. 49 1997 The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium. Zbl 1217.35142Goudon, Thierry; He, Lingbing; Moussa, Ayman; Zhang, Ping 45 2010 Diffusion limit for non homogeneous and non-micro-reversible processes. Zbl 0971.82035Degond, P.; Goudon, T.; Poupaud, F. 41 2000 The strong relaxation limit of the multidimensional isothermal Euler equations. Zbl 1170.35477Coulombel, Jean-François; Goudon, Thierry 30 2007 Regularity analysis for systems of reaction-diffusion equations. Zbl 1191.35202Goudon, Thierry; Vasseur, Alexis 29 2010 Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system. Zbl 1072.35176Goudon, T.; Nieto, J.; Poupaud, F.; Soler, J. 28 2005 Approximation by homogenization and diffusion of kinetic equations. Zbl 0988.35023Goudon, Thierry; Poupaud, Frederic 24 2001 An hybrid finite volume-finite element method for variable density incompressible flows. Zbl 1137.76037Calgaro, Caterina; Creusé, Emmanuel; Goudon, Thierry 24 2008 A coupled model for radiative transfer: Doppler effects, equilibrium, and nonequilibrium diffusion asymptotics. Zbl 1236.85006Godillon-Lafitte, Pauline; Goudon, Thierry 23 2005 Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles. Zbl 1045.35094Cáceres, Maria J.; Carrillo, José A.; Goudon, Thierry 22 2003 Hydrodynamic limit for the Vlasov-Poisson-Fokker-Planck system: analysis of the two-dimensional case. Zbl 1074.82021Goudon, Thierry 22 2005 Diffusion approximation and entropy-based moment closure for kinetic equations. Zbl 1091.35038Coulombel, Jean-François; Golse, François; Goudon, Thierry 22 2005 Simulation of fluid and particles flows: asymptotic preserving schemes for bubbling and flowing regimes. Zbl 1141.76050Carrillo, José-Antonio; Goudon, Thierry; Lafitte, Pauline 20 2008 The Becker-Döring system and its Lifshitz-Slyozov limit. Zbl 1025.45005Collet, Jean-François; Goudon, Thierry; Poupaud, Frédéric; Vasseur, Alexis 16 2002 Numerical schemes of diffusion asymptotics and moment closures for kinetic equations. Zbl 1203.65015Carrillo, J. A.; Goudon, T.; Lafitte, P.; Vecil, F. 16 2008 Solutions of the 4-species quadratic reaction-diffusion system are bounded and \(C^\infty\)-smooth, in any space dimension. Zbl 1423.35164Caputo, M. Cristina; Goudon, Thierry; Vasseur, Alexis F. 14 2019 Asymptotic stability of shock profiles in radiative hydrodynamics. Zbl 1387.35497Lin, Chunjin; Coulombel, Jean-François; Goudon, Thierry 14 2007 Fourier-based distances and Berry-Esseen like inequalities for smooth densities. Zbl 0992.60027Goudon, Thierry; Junca, Stéphane; Toscani, Giuseppe 13 2002 On solutions of the Lifshitz-Slyozov model. Zbl 0957.35127Collet, Jean-François; Goudon, Thierry 13 2000 Scaling limit of a discrete prion dynamics model. Zbl 1196.34012Doumic, Marie; Goudon, Thierry; Lepoutre, Thomas 13 2009 \(L^{\infty }\)-stability of vertex-based MUSCL finite volume schemes on unstructured grids: Simulation of incompressible flows with high density ratios. Zbl 1425.76157Calgaro, Caterina; Chane-Kane, Emile; Creusé, Emmanuel; Goudon, Thierry 12 2010 Homogenization and diffusion asymptotics of the linear Boltzmann equation. Zbl 1070.35032Goudon, Thierry; Mellet, Antoine 11 2003 Self-organized populations interacting under pursuit-evasion dynamics. Zbl 1365.92144Goudon, Thierry; Nkonga, Boniface; Rascle, Michel; Ribot, Magali 11 2015 On a generalized Boltzmann equation for non-classical particle transport. Zbl 1219.35166Frank, Martin; Goudon, Thierry 10 2010 Homogenization of transport equations: weak mean field approximation. Zbl 1077.35019Goudon, Thierry; Poupaud, Frédéric 10 2004 On the homogeneous Boltzmann equation and its relation to the Landau-Fokker-Planck equation: Influence of grazing collisions. (Sur l’équation de Boltzmann homogène et sa relation avec l’équation de Landau-Fokker-Planck: Influence des collisions rasantes.) Zbl 0882.76079Goudon, Thierry 9 1997 A model describing the growth and the size distribution of multiple metastatic tumors. Zbl 1195.35054Devys, Anne; Goudon, Thierry; Lafitte, Pauline 9 2009 Zero-mass-electrons limits in hydrodynamic models for plasmas. Zbl 0959.76096Goudon, T.; Jüngel, A.; Peng, Y.-J. 9 1999 Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. Zbl 1349.82046Goudon, Thierry; Jin, Shi; Liu, Jian-Guo; Yan, Bokai 9 2013 Analysis of the \(M 1\) model: well-posedness and diffusion asymptotics. Zbl 1307.35183Goudon, Thierry; Lin, Chunjin 9 2013 A numerical study on large-time asymptotics of the Lifshitz–Slyozov system. Zbl 1097.35102Carrillo, J. A.; Goudon, T. 8 2004 Asymptotic problems for a kinetic model of two-phase flow. Zbl 0992.35017Goudon, T. 8 2001 Numerical homogenization of a nonlinearly coupled elliptic-parabolic system, reduced basis method, and application to nuclear waste storage. Zbl 1330.35027Gloria, Antoine; Goudon, Thierry; Krell, Stella 8 2013 Generalized invariant sets for the Boltzmann equation. Zbl 0878.35090Goudon, T. 7 1997 On fluid limit for the semiconductors Boltzmann equation. Zbl 1013.82024Goudon, Thierry; Mellet, Antoine 7 2003 Low field regime for the relativistic Vlasov-Maxwell-Fokker-Planck system: the one and one half dimensional case. Zbl 1185.35287Bostan, Mihai; Goudon, Thierry 7 2008 Some remarks on large-time asymptotic of the Lifshitz-Slyozov equations. Zbl 1067.82046Collet, Jean-François; Goudon, Thierry; Vasseur, Alexis 6 2002 Homogenization of transport equations: a simple PDE approach to the Kubo formula. Zbl 1108.60060Goudon, Thierry; Poupaud, Frédéric 6 2007 On the modeling of the transport of particles in turbulent flows. Zbl 1079.76037Goudon, Thierry; Poupaud, Frédéric 6 2004 Analysis of kinetic and macroscopic models of pursuit-evasion dynamics. Zbl 1354.92061Goudon, Thierry; Urrutia, Luis 6 2016 Kinetic schemes on staggered grids for barotropic Euler models: entropy-stability analysis. Zbl 1329.76198Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian 6 2015 On a Fokker-Planck equation arising in population dynamics. Zbl 0921.45007Goudon, Thierry; Saad, Mazen 6 1998 Diffusion approximation in heterogeneous media. Zbl 1009.35010Goudon, Thierry; Mellet, Antoine 5 2001 Fluid-particles flows: a thin spray model with energy exchanges. Zbl 1176.76132Boudin, Laurent; Boutin, Benjamin; Fornet, Bruno; Goudon, Thierry; Lafitte, Pauline; Lagoutière, Frédéric; Merlet, Benoît 5 2009 Hydrodynamic regimes, Knudsen layer, numerical schemes: definition of boundary fluxes. Zbl 1262.65111Besse, Christophe; Borghol, Saja; Goudon, Thierry; Lacroix-Violet, Ingrid; Dudon, Jean-Paul 5 2011 Simulations of the Lifshitz-Slyozov equations: the role of coagulation terms in the asymptotic behavior. Zbl 1267.82076Goudon, Thierry; Lagoutière, Frédéric; Tine, Léon Matar 5 2013 Simulation of fluid-particles flows: heavy particles, flowing regime, and asymptotic-preserving schemes. Zbl 1278.35191Goudon, Thierry; Jin, Shi; Yan, Bokai 5 2012 Particles interacting with a vibrating medium: existence of solutions and convergence to the Vlasov-Poisson system. Zbl 1357.82063De Bièvre, Stephan; Goudon, Thierry; Vavasseur, Arthur 5 2016 Damping of particles interacting with a vibrating medium. Zbl 1386.82062Alonso, Ricardo; Goudon, Thierry; Vavasseur, Arthur 5 2017 Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations. Zbl 1433.82009Bonnaillie-Noël, V.; Carrillo, J. A.; Goudon, T.; Pavliotis, G. A. 5 2016 Equilibrium solutions for the Pauli operator. (Solutions d’équilibre pour l’opérateur de Pauli.) Zbl 0957.35037Goudon, Thierry 4 2000 Low-field limit for a nonlinear discrete drift-diffusion model arising in semiconductor superlattices theory. Zbl 1059.82044Goudon, Thierry; Sánchez, Oscar; Soler, Juan; Bonilla, Luis L. 4 2004 Mathematical models and numerical methods for radiative transfer. Collection of papers from the summer school, Nice, France, July 31 to August 4, 2007. Zbl 1188.85001 4 2009 High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1157.35486Bostan, Mihai; Goudon, Thierry 4 2008 Modeling and simulation of mixture flows: application to powder-snow avalanches. Zbl 1390.76403Calgaro, Caterina; Creusé, Emmanuel; Goudon, Thierry 4 2015 Lifshitz-Slyozov equations: The model with encounters. Zbl 0982.45005Collet, J.-F.; Goudon, T. 4 1999 Diffusion dynamics of classical systems driven by an oscillatory force. Zbl 1134.82033Castella, F.; Degond, P.; Goudon, Th. 4 2006 Integration. Lebesque interal and introduction to functional analysis. (Intégration. Intégrale de Lebesgue et introduction à l’analyse fonctionnelle.) Zbl 1327.28002Goudon, Thierry 4 2011 Global existence of the equilibrium diffusion model in radiative hydrodynamics. Zbl 1365.76275Lin, Chunjin; Goudon, Thierry 4 2011 Analysis of a semidiscrete version of the Wigner equation. Zbl 1037.65094Goudon, Thierry 3 2002 Discrete version of the SHE asymptotics: multigroup neutron transport equations. Zbl 1060.82042Goudon, Thierry; Mellet, Antoine 3 2002 Vanishing pressure in gas dynamics equations. Zbl 0970.35117Goudon, T.; Junca, S. 3 2000 An ant navigation model based on Weber’s law. Zbl 1409.92274Amorim, Paulo; Goudon, Thierry; Peruani, Fernando 3 2019 Signal propagation of the MAPK cascade in Xenopus oocytes: role of bistability and ultrasensitivity for a mixed problem. Zbl 1284.92032Blossey, Ralf; Bodart, Jean-François; Devys, Anne; Goudon, Thierry; Lafitte, Pauline 3 2012 Stochastic acceleration in an inhomogeneous time random force field. Zbl 1196.70014Goudon, Thierry; Rousset, Mathias 3 2009 Entropy-based moment closure for kinetic equations: Riemann problem and invariant regions. Zbl 1121.35075Coulombel, Jean-François; Goudon, Thierry 3 2006 Mean field limit for particles interacting with a vibrating medium. Zbl 1355.82043Goudon, Thierry; Vavasseur, Arthur 3 2016 Derivation of a non-local model for diffusion asymptotics – application to radiative transfer problems. Zbl 1364.82052Besse, C.; Goudon, T. 3 2010 Positivity-preserving schemes for Euler equations: sharp and practical CFL conditions. Zbl 1284.65110Calgaro, C.; Creusé, E.; Goudon, T.; Penel, Y. 3 2013 DDFV method for Navier-Stokes problem with outflow boundary conditions. Zbl 1411.76085Goudon, Thierry; Krell, Stella; Lissoni, Giulia 3 2019 Analysis of a chemotaxis system modeling ant foraging. Zbl 1343.92557Alonso, Ricardo; Amorim, Paulo; Goudon, Thierry 3 2016 Multifluid flows: a kinetic approach. Zbl 06555598Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian 3 2016 Consistency analysis of a 1D finite volume scheme for barotropic Euler models. Zbl 1394.76073Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian 3 2014 The Lifschitz-Slyozov equation with space-diffusion of monomers. Zbl 1257.82073Goudon, Thierry; Lagoutière, Frédéric; Tine, Léon M. 2 2012 On the Spitzer-Härm regime and nonlocal approximations: modeling, analysis, and numerical simulations. Zbl 1229.35301Goudon, Thierry; Parisot, Martin 2 2011 Large time dynamics of a classical system subject to a fast varying force. Zbl 1127.37052Castella, F.; Degond, P.; Goudon, Th. 2 2007 Asymptotic problems for wave-particle interactions: quantum and classical models. Zbl 1202.35182Castella, François; Degond, Pierre; Goudon, Thierry 2 2007 On the Shockley-Read-Hall model: generation-recombination in semiconductors. Zbl 1146.82007Goudon, Thierry; Miljanović, Vera; Schmeiser, Christian 2 2007 Mathematics for modeling and scientific computing. Zbl 1351.00001Goudon, Thierry 2 2016 A staggered scheme for the Euler equations. Zbl 1366.76060Goudon, Thierry; Llobell, Julie; Minjeaud, Sebastian 2 2017 Regularity of velocity averages for transport equations on random discrete velocity grids. Zbl 1370.35069Ayi, Nathalie; Goudon, Thierry 2 2017 Numerical analysis of the DDFV method for the Stokes problem with mixed Neumann/Dirichlet boundary conditions. Zbl 1391.76411Goudon, Thierry; Krell, Stella; Lissoni, Giulia 2 2017 A semi-Lagrangian approach for dilute non-collisional fluid-particle flows. Zbl 1388.65074Bernard-Champmartin, Aude; Braeunig, Jean-Philippe; Fochesato, Christophe; Goudon, Thierry 2 2016 On a model for mixture flows: derivation, dissipation and stability properties. Zbl 1339.35319Goudon, Thierry; Vasseur, Alexis 2 2016 Parabolic equations involving 0th and 1st order terms with \(L^1\) data. Zbl 1001.35066Goudon, Thierry; Saad, Mazen 1 2001 Convergence study of a DDFV scheme for the Navier-Stokes equations arising in the domain decomposition setting. Zbl 1454.65109Goudon, Thierry; Krell, Stella; Lissoni, Giulia 1 2020 Fokker-Planck approach of Ostwald ripening: simulation of a modified Lifshitz-Slyozov-Wagner system with a diffusive correction. Zbl 1447.82024Goudon, Thierry; Monasse, Laurent 1 2020 A size and space structured model describing interactions of tumor cells with immune cells reveals cancer persistent equilibrium states in tumorigenesis. Zbl 1430.92022Atsou, Kevin; Anjuère, Fabienne; Braud, Véronique M.; Goudon, Thierry 1 2020 Stability analysis of a Vlasov-wave system describing particles interacting with their environment. Zbl 1390.82052De Bièvre, Stephan; Goudon, Thierry; Vavasseur, Arthur 1 2018 The linear Boltzmann equation with space periodic electric field. Zbl 1208.35099Bostan, Mihai; Gamba, Irene M.; Goudon, Thierry 1 2010 Vanishing viscosity regimes and nonstandard shock relations for semiconductor superlattices models. Zbl 1213.35354Goudon, T.; Nieto, J.; Sánchez, O.; Soler, J. 1 2011 Non-local macroscopic models based on Gaussian closures for the Spizer-Härm regime. Zbl 1233.82042Goudon, Thierry; Parisot, Martin 1 2011 A fluid-kinetic model for particulate flows with coagulation and breakup: stationary solutions, stability, and hydrodynamic regimes. Zbl 1267.35161Goudon, Thierry; Sy, Mamadou; Tiné, Léon M. 1 2013 A mixture model for the dynamic of the gut mucus layer. Zbl 1456.76166El Bouti, Tamara; Goudon, Thierry; Labarthe, Simon; Laroche, Béatrice; Polizzi, Bastien; Rachah, Amira; Ribot, Magali; Tesson, Rémi 1 2016 Finite volume schemes on unstructured grids for non-local models: application to the simulation of heat transport in plasmas. Zbl 1284.82064Goudon, Thierry; Parisot, Martin 1 2012 A DDFV scheme for incompressible Navier-Stokes equations with variable density. Zbl 1426.76370Goudon, Thierry; Krell, Stella 1 2014 Convergence study of a DDFV scheme for the Navier-Stokes equations arising in the domain decomposition setting. Zbl 1454.65109Goudon, Thierry; Krell, Stella; Lissoni, Giulia 1 2020 Fokker-Planck approach of Ostwald ripening: simulation of a modified Lifshitz-Slyozov-Wagner system with a diffusive correction. Zbl 1447.82024Goudon, Thierry; Monasse, Laurent 1 2020 A size and space structured model describing interactions of tumor cells with immune cells reveals cancer persistent equilibrium states in tumorigenesis. Zbl 1430.92022Atsou, Kevin; Anjuère, Fabienne; Braud, Véronique M.; Goudon, Thierry 1 2020 Solutions of the 4-species quadratic reaction-diffusion system are bounded and \(C^\infty\)-smooth, in any space dimension. Zbl 1423.35164Caputo, M. Cristina; Goudon, Thierry; Vasseur, Alexis F. 14 2019 An ant navigation model based on Weber’s law. Zbl 1409.92274Amorim, Paulo; Goudon, Thierry; Peruani, Fernando 3 2019 DDFV method for Navier-Stokes problem with outflow boundary conditions. Zbl 1411.76085Goudon, Thierry; Krell, Stella; Lissoni, Giulia 3 2019 Stability analysis of a Vlasov-wave system describing particles interacting with their environment. Zbl 1390.82052De Bièvre, Stephan; Goudon, Thierry; Vavasseur, Arthur 1 2018 Damping of particles interacting with a vibrating medium. Zbl 1386.82062Alonso, Ricardo; Goudon, Thierry; Vavasseur, Arthur 5 2017 A staggered scheme for the Euler equations. Zbl 1366.76060Goudon, Thierry; Llobell, Julie; Minjeaud, Sebastian 2 2017 Regularity of velocity averages for transport equations on random discrete velocity grids. Zbl 1370.35069Ayi, Nathalie; Goudon, Thierry 2 2017 Numerical analysis of the DDFV method for the Stokes problem with mixed Neumann/Dirichlet boundary conditions. Zbl 1391.76411Goudon, Thierry; Krell, Stella; Lissoni, Giulia 2 2017 Analysis of kinetic and macroscopic models of pursuit-evasion dynamics. Zbl 1354.92061Goudon, Thierry; Urrutia, Luis 6 2016 Particles interacting with a vibrating medium: existence of solutions and convergence to the Vlasov-Poisson system. Zbl 1357.82063De Bièvre, Stephan; Goudon, Thierry; Vavasseur, Arthur 5 2016 Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations. Zbl 1433.82009Bonnaillie-Noël, V.; Carrillo, J. A.; Goudon, T.; Pavliotis, G. A. 5 2016 Mean field limit for particles interacting with a vibrating medium. Zbl 1355.82043Goudon, Thierry; Vavasseur, Arthur 3 2016 Analysis of a chemotaxis system modeling ant foraging. Zbl 1343.92557Alonso, Ricardo; Amorim, Paulo; Goudon, Thierry 3 2016 Multifluid flows: a kinetic approach. Zbl 06555598Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian 3 2016 Mathematics for modeling and scientific computing. Zbl 1351.00001Goudon, Thierry 2 2016 A semi-Lagrangian approach for dilute non-collisional fluid-particle flows. Zbl 1388.65074Bernard-Champmartin, Aude; Braeunig, Jean-Philippe; Fochesato, Christophe; Goudon, Thierry 2 2016 On a model for mixture flows: derivation, dissipation and stability properties. Zbl 1339.35319Goudon, Thierry; Vasseur, Alexis 2 2016 A mixture model for the dynamic of the gut mucus layer. Zbl 1456.76166El Bouti, Tamara; Goudon, Thierry; Labarthe, Simon; Laroche, Béatrice; Polizzi, Bastien; Rachah, Amira; Ribot, Magali; Tesson, Rémi 1 2016 Self-organized populations interacting under pursuit-evasion dynamics. Zbl 1365.92144Goudon, Thierry; Nkonga, Boniface; Rascle, Michel; Ribot, Magali 11 2015 Kinetic schemes on staggered grids for barotropic Euler models: entropy-stability analysis. Zbl 1329.76198Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian 6 2015 Modeling and simulation of mixture flows: application to powder-snow avalanches. Zbl 1390.76403Calgaro, Caterina; Creusé, Emmanuel; Goudon, Thierry 4 2015 Consistency analysis of a 1D finite volume scheme for barotropic Euler models. Zbl 1394.76073Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian 3 2014 A DDFV scheme for incompressible Navier-Stokes equations with variable density. Zbl 1426.76370Goudon, Thierry; Krell, Stella 1 2014 Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. Zbl 1349.82046Goudon, Thierry; Jin, Shi; Liu, Jian-Guo; Yan, Bokai 9 2013 Analysis of the \(M 1\) model: well-posedness and diffusion asymptotics. Zbl 1307.35183Goudon, Thierry; Lin, Chunjin 9 2013 Numerical homogenization of a nonlinearly coupled elliptic-parabolic system, reduced basis method, and application to nuclear waste storage. Zbl 1330.35027Gloria, Antoine; Goudon, Thierry; Krell, Stella 8 2013 Simulations of the Lifshitz-Slyozov equations: the role of coagulation terms in the asymptotic behavior. Zbl 1267.82076Goudon, Thierry; Lagoutière, Frédéric; Tine, Léon Matar 5 2013 Positivity-preserving schemes for Euler equations: sharp and practical CFL conditions. Zbl 1284.65110Calgaro, C.; Creusé, E.; Goudon, T.; Penel, Y. 3 2013 A fluid-kinetic model for particulate flows with coagulation and breakup: stationary solutions, stability, and hydrodynamic regimes. Zbl 1267.35161Goudon, Thierry; Sy, Mamadou; Tiné, Léon M. 1 2013 Simulation of fluid-particles flows: heavy particles, flowing regime, and asymptotic-preserving schemes. Zbl 1278.35191Goudon, Thierry; Jin, Shi; Yan, Bokai 5 2012 Signal propagation of the MAPK cascade in Xenopus oocytes: role of bistability and ultrasensitivity for a mixed problem. Zbl 1284.92032Blossey, Ralf; Bodart, Jean-François; Devys, Anne; Goudon, Thierry; Lafitte, Pauline 3 2012 The Lifschitz-Slyozov equation with space-diffusion of monomers. Zbl 1257.82073Goudon, Thierry; Lagoutière, Frédéric; Tine, Léon M. 2 2012 Finite volume schemes on unstructured grids for non-local models: application to the simulation of heat transport in plasmas. Zbl 1284.82064Goudon, Thierry; Parisot, Martin 1 2012 Hydrodynamic regimes, Knudsen layer, numerical schemes: definition of boundary fluxes. Zbl 1262.65111Besse, Christophe; Borghol, Saja; Goudon, Thierry; Lacroix-Violet, Ingrid; Dudon, Jean-Paul 5 2011 Integration. Lebesque interal and introduction to functional analysis. (Intégration. Intégrale de Lebesgue et introduction à l’analyse fonctionnelle.) Zbl 1327.28002Goudon, Thierry 4 2011 Global existence of the equilibrium diffusion model in radiative hydrodynamics. Zbl 1365.76275Lin, Chunjin; Goudon, Thierry 4 2011 On the Spitzer-Härm regime and nonlocal approximations: modeling, analysis, and numerical simulations. Zbl 1229.35301Goudon, Thierry; Parisot, Martin 2 2011 Vanishing viscosity regimes and nonstandard shock relations for semiconductor superlattices models. Zbl 1213.35354Goudon, T.; Nieto, J.; Sánchez, O.; Soler, J. 1 2011 Non-local macroscopic models based on Gaussian closures for the Spizer-Härm regime. Zbl 1233.82042Goudon, Thierry; Parisot, Martin 1 2011 The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium. Zbl 1217.35142Goudon, Thierry; He, Lingbing; Moussa, Ayman; Zhang, Ping 45 2010 Regularity analysis for systems of reaction-diffusion equations. Zbl 1191.35202Goudon, Thierry; Vasseur, Alexis 29 2010 \(L^{\infty }\)-stability of vertex-based MUSCL finite volume schemes on unstructured grids: Simulation of incompressible flows with high density ratios. Zbl 1425.76157Calgaro, Caterina; Chane-Kane, Emile; Creusé, Emmanuel; Goudon, Thierry 12 2010 On a generalized Boltzmann equation for non-classical particle transport. Zbl 1219.35166Frank, Martin; Goudon, Thierry 10 2010 Derivation of a non-local model for diffusion asymptotics – application to radiative transfer problems. Zbl 1364.82052Besse, C.; Goudon, T. 3 2010 The linear Boltzmann equation with space periodic electric field. Zbl 1208.35099Bostan, Mihai; Gamba, Irene M.; Goudon, Thierry 1 2010 Scaling limit of a discrete prion dynamics model. Zbl 1196.34012Doumic, Marie; Goudon, Thierry; Lepoutre, Thomas 13 2009 A model describing the growth and the size distribution of multiple metastatic tumors. Zbl 1195.35054Devys, Anne; Goudon, Thierry; Lafitte, Pauline 9 2009 Fluid-particles flows: a thin spray model with energy exchanges. Zbl 1176.76132Boudin, Laurent; Boutin, Benjamin; Fornet, Bruno; Goudon, Thierry; Lafitte, Pauline; Lagoutière, Frédéric; Merlet, Benoît 5 2009 Mathematical models and numerical methods for radiative transfer. Collection of papers from the summer school, Nice, France, July 31 to August 4, 2007. Zbl 1188.85001 4 2009 Stochastic acceleration in an inhomogeneous time random force field. Zbl 1196.70014Goudon, Thierry; Rousset, Mathias 3 2009 An hybrid finite volume-finite element method for variable density incompressible flows. Zbl 1137.76037Calgaro, Caterina; Creusé, Emmanuel; Goudon, Thierry 24 2008 Simulation of fluid and particles flows: asymptotic preserving schemes for bubbling and flowing regimes. Zbl 1141.76050Carrillo, José-Antonio; Goudon, Thierry; Lafitte, Pauline 20 2008 Numerical schemes of diffusion asymptotics and moment closures for kinetic equations. Zbl 1203.65015Carrillo, J. A.; Goudon, T.; Lafitte, P.; Vecil, F. 16 2008 Low field regime for the relativistic Vlasov-Maxwell-Fokker-Planck system: the one and one half dimensional case. Zbl 1185.35287Bostan, Mihai; Goudon, Thierry 7 2008 High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1157.35486Bostan, Mihai; Goudon, Thierry 4 2008 The strong relaxation limit of the multidimensional isothermal Euler equations. Zbl 1170.35477Coulombel, Jean-François; Goudon, Thierry 30 2007 Asymptotic stability of shock profiles in radiative hydrodynamics. Zbl 1387.35497Lin, Chunjin; Coulombel, Jean-François; Goudon, Thierry 14 2007 Homogenization of transport equations: a simple PDE approach to the Kubo formula. Zbl 1108.60060Goudon, Thierry; Poupaud, Frédéric 6 2007 Large time dynamics of a classical system subject to a fast varying force. Zbl 1127.37052Castella, F.; Degond, P.; Goudon, Th. 2 2007 Asymptotic problems for wave-particle interactions: quantum and classical models. Zbl 1202.35182Castella, François; Degond, Pierre; Goudon, Thierry 2 2007 On the Shockley-Read-Hall model: generation-recombination in semiconductors. Zbl 1146.82007Goudon, Thierry; Miljanović, Vera; Schmeiser, Christian 2 2007 Stability and asymptotic analysis of a fluid-particle interaction model. Zbl 1105.35088Carrillo, José A.; Goudon, Thierry 66 2006 Shock profiles for non-equilibrium radiating gases. Zbl 1096.35086Lin, Chunjin; Coulombel, Jean-François; Goudon, Thierry 49 2006 Diffusion dynamics of classical systems driven by an oscillatory force. Zbl 1134.82033Castella, F.; Degond, P.; Goudon, Th. 4 2006 Entropy-based moment closure for kinetic equations: Riemann problem and invariant regions. Zbl 1121.35075Coulombel, Jean-François; Goudon, Thierry 3 2006 Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system. Zbl 1072.35176Goudon, T.; Nieto, J.; Poupaud, F.; Soler, J. 28 2005 A coupled model for radiative transfer: Doppler effects, equilibrium, and nonequilibrium diffusion asymptotics. Zbl 1236.85006Godillon-Lafitte, Pauline; Goudon, Thierry 23 2005 Hydrodynamic limit for the Vlasov-Poisson-Fokker-Planck system: analysis of the two-dimensional case. Zbl 1074.82021Goudon, Thierry 22 2005 Diffusion approximation and entropy-based moment closure for kinetic equations. Zbl 1091.35038Coulombel, Jean-François; Golse, François; Goudon, Thierry 22 2005 Hydrodynamic limit for the Vlasov-Navier-Stokes equations. I: Light particles regime. II: Fine particles regime. Zbl 1085.35117Goudon, Thierry; Jabin, Pierre-Emmanuel; Vasseur, Alexis 63 2004 Homogenization of transport equations: weak mean field approximation. Zbl 1077.35019Goudon, Thierry; Poupaud, Frédéric 10 2004 A numerical study on large-time asymptotics of the Lifshitz–Slyozov system. Zbl 1097.35102Carrillo, J. A.; Goudon, T. 8 2004 On the modeling of the transport of particles in turbulent flows. Zbl 1079.76037Goudon, Thierry; Poupaud, Frédéric 6 2004 Low-field limit for a nonlinear discrete drift-diffusion model arising in semiconductor superlattices theory. Zbl 1059.82044Goudon, Thierry; Sánchez, Oscar; Soler, Juan; Bonilla, Luis L. 4 2004 Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles. Zbl 1045.35094Cáceres, Maria J.; Carrillo, José A.; Goudon, Thierry 22 2003 Homogenization and diffusion asymptotics of the linear Boltzmann equation. Zbl 1070.35032Goudon, Thierry; Mellet, Antoine 11 2003 On fluid limit for the semiconductors Boltzmann equation. Zbl 1013.82024Goudon, Thierry; Mellet, Antoine 7 2003 The Becker-Döring system and its Lifshitz-Slyozov limit. Zbl 1025.45005Collet, Jean-François; Goudon, Thierry; Poupaud, Frédéric; Vasseur, Alexis 16 2002 Fourier-based distances and Berry-Esseen like inequalities for smooth densities. Zbl 0992.60027Goudon, Thierry; Junca, Stéphane; Toscani, Giuseppe 13 2002 Some remarks on large-time asymptotic of the Lifshitz-Slyozov equations. Zbl 1067.82046Collet, Jean-François; Goudon, Thierry; Vasseur, Alexis 6 2002 Analysis of a semidiscrete version of the Wigner equation. Zbl 1037.65094Goudon, Thierry 3 2002 Discrete version of the SHE asymptotics: multigroup neutron transport equations. Zbl 1060.82042Goudon, Thierry; Mellet, Antoine 3 2002 Approximation by homogenization and diffusion of kinetic equations. Zbl 0988.35023Goudon, Thierry; Poupaud, Frederic 24 2001 Asymptotic problems for a kinetic model of two-phase flow. Zbl 0992.35017Goudon, T. 8 2001 Diffusion approximation in heterogeneous media. Zbl 1009.35010Goudon, Thierry; Mellet, Antoine 5 2001 Parabolic equations involving 0th and 1st order terms with \(L^1\) data. Zbl 1001.35066Goudon, Thierry; Saad, Mazen 1 2001 Diffusion limit for non homogeneous and non-micro-reversible processes. Zbl 0971.82035Degond, P.; Goudon, T.; Poupaud, F. 41 2000 On solutions of the Lifshitz-Slyozov model. Zbl 0957.35127Collet, Jean-François; Goudon, Thierry 13 2000 Equilibrium solutions for the Pauli operator. (Solutions d’équilibre pour l’opérateur de Pauli.) Zbl 0957.35037Goudon, Thierry 4 2000 Vanishing pressure in gas dynamics equations. Zbl 0970.35117Goudon, T.; Junca, S. 3 2000 Zero-mass-electrons limits in hydrodynamic models for plasmas. Zbl 0959.76096Goudon, T.; Jüngel, A.; Peng, Y.-J. 9 1999 Lifshitz-Slyozov equations: The model with encounters. Zbl 0982.45005Collet, J.-F.; Goudon, T. 4 1999 On a Fokker-Planck equation arising in population dynamics. Zbl 0921.45007Goudon, Thierry; Saad, Mazen 6 1998 On Boltzmann equations and Fokker-Planck asymptotics: Influence of grazing collisions. Zbl 0918.35136Goudon, T. 49 1997 On the homogeneous Boltzmann equation and its relation to the Landau-Fokker-Planck equation: Influence of grazing collisions. (Sur l’équation de Boltzmann homogène et sa relation avec l’équation de Landau-Fokker-Planck: Influence des collisions rasantes.) Zbl 0882.76079Goudon, Thierry 9 1997 Generalized invariant sets for the Boltzmann equation. Zbl 0878.35090Goudon, T. 7 1997 all cited Publications top 5 cited Publications all top 5 Cited by 822 Authors 48 Goudon, Thierry 18 Carrillo de la Plata, José Antonio 16 Choi, Young-Pil 15 Ducomet, Bernard 13 Nečasová, Šárka 12 Desvillettes, Laurent 11 Fellner, Klemens 10 Mellet, Antoine 10 Soler, Juan S. 9 Jiang, Peng 9 Perthame, Benoît 9 Schmeiser, Christian 9 Tang, Bao Quoc 9 Toscani, Giuseppe 8 Ha, Seung-Yeal 8 Huang, Bingyuan 8 Peng, Yuejun 8 Pierre, Michel 8 Ruan, Lizhi 7 Martínez Gamba, Irene 7 Li, Qin 7 Tayeb, Mohamed Lazhar 7 Vasseur, Alexis F. 7 Villani, Cédric 7 Wang, Wenjun 7 Xie, Feng 6 Alexandre, Radjesvarane 6 Amaziane, Brahim 6 Calgaro, Caterina 6 Cañizo, José Alfredo 6 Degond, Pierre 6 Ding, Shijin 6 Dolbeault, Jean 6 Jin, Shi 6 Mischler, Stéphane 6 Morgan, Jeff J. 6 Mouhot, Clément 6 Pankratov, Leonid S. 6 Wen, Huanyao 5 Aceves-Sánchez, Pedro 5 Amorim, Paulo 5 Bellomo, Nicola 5 Berthelin, Florent 5 Bouin, Emeric 5 Calvo, Juan G. 5 Doumic, Marie 5 Frank, Martin 5 Huang, Bingkang 5 Klar, Axel 5 Lafitte, Pauline 5 Lin, Chunjin 5 Trivisa, Konstantina 5 Tse, Oliver 5 Vasques, Richard 5 Yan, Bokai 5 Yu, Cheng 5 Zhu, Limei 4 Bostan, Mihai 4 Castella, François 4 Chacón, Luis 4 Conlon, Joseph G. 4 Fan, Lili 4 Guérin, Hélène 4 Han-Kwan, Daniel 4 Hivert, Hélène 4 Jüngel, Ansgar 4 Krell, Stella 4 Li, Fucai 4 Li, Yeping 4 Liao, Jie 4 Lods, Bertrand 4 Lu, Jianfeng 4 Lu, Xuguang 4 Masmoudi, Nader 4 Minjeaud, Sebastian 4 Moussa, Ayman 4 Nieto, Juanjo 4 Pareschi, Lorenzo 4 Poupaud, Frédéric 4 Qin, Yuming 4 Ribot, Magali 4 Samaey, Giovanni 4 Simakov, A. N. 4 Suzuki, Takashi 4 Taitano, William T. 4 Vavasseur, Arthur 4 Wang, Dehua 4 Wang, Li 4 Wasiolek, Victor 4 Winkler, Michael 4 Xiang, Wei 4 Xiao, Qinghua 4 Yang, Xiongfeng 3 Alonso, Ricardo J. 3 Aregba-Driollet, Denise 3 Ayi, Nathalie 3 Ballew, Joshua 3 Bardos, Claude Williams 3 Ben Abdallah, Naoufel 3 Bisi, Marzia ...and 722 more Authors all top 5 Cited in 134 Serials 44 Journal of Differential Equations 42 Journal of Computational Physics 41 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 31 Journal of Statistical Physics 27 SIAM Journal on Mathematical Analysis 22 Kinetic and Related Models 20 Journal of Mathematical Analysis and Applications 17 Archive for Rational Mechanics and Analysis 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Nonlinear Analysis. Real World Applications 11 Communications in Mathematical Physics 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Multiscale Modeling & Simulation 10 Journal of Mathematical Physics 10 Journal of Evolution Equations 9 Journal of Mathematical Biology 9 Mathematical Methods in the Applied Sciences 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Nonlinearity 8 Physica D 8 Discrete and Continuous Dynamical Systems 8 Journal of Hyperbolic Differential Equations 8 Journal of Theoretical Biology 7 Journal of Functional Analysis 7 SIAM Journal on Scientific Computing 7 Journal of Mathematical Fluid Mechanics 6 Acta Applicandae Mathematicae 6 Communications in Partial Differential Equations 6 Communications on Pure and Applied Analysis 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Networks and Heterogeneous Media 5 Applicable Analysis 5 Transport Theory and Statistical Physics 5 Journal of Computational and Applied Mathematics 5 Journal of Scientific Computing 5 SIAM Journal on Applied Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Abstract and Applied Analysis 4 Discrete and Continuous Dynamical Systems. Series B 4 Séminaire Laurent Schwartz. EDP et Applications 3 Computers and Fluids 3 Computers & Mathematics with Applications 3 Mathematics of Computation 3 Bulletin of Mathematical Biology 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Quarterly of Applied Mathematics 3 SIAM Journal on Numerical Analysis 3 Applied Numerical Mathematics 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Asymptotic Analysis 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Applications of Mathematics 3 Journal of Nonlinear Science 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Analysis and Applications (Singapore) 3 Communications in Computational Physics 3 Analysis & PDE 3 SIAM/ASA Journal on Uncertainty Quantification 3 Annals of PDE 2 Computer Methods in Applied Mechanics and Engineering 2 Communications on Pure and Applied Mathematics 2 Mathematical Biosciences 2 Monatshefte für Mathematik 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 The Annals of Applied Probability 2 Calculus of Variations and Partial Differential Equations 2 Physics of Fluids 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Mathematical Biosciences and Engineering 2 Journal of Biological Dynamics 2 Discrete and Continuous Dynamical Systems. Series S 1 International Journal for Numerical Methods in Fluids 1 Physica A 1 Automatica 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Memoirs of the American Mathematical Society 1 Ricerche di Matematica 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Statistics & Probability Letters 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Revista Matemática Iberoamericana 1 Numerical Methods for Partial Differential Equations 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Topological Methods in Nonlinear Analysis 1 Journal of Mathematical Sciences (New York) ...and 34 more Serials all top 5 Cited in 33 Fields 519 Partial differential equations (35-XX) 298 Fluid mechanics (76-XX) 229 Statistical mechanics, structure of matter (82-XX) 119 Numerical analysis (65-XX) 92 Biology and other natural sciences (92-XX) 39 Probability theory and stochastic processes (60-XX) 27 Integral equations (45-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Ordinary differential equations (34-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Optics, electromagnetic theory (78-XX) 15 Mechanics of deformable solids (74-XX) 10 Mechanics of particles and systems (70-XX) 9 Operator theory (47-XX) 9 Astronomy and astrophysics (85-XX) 8 Functional analysis (46-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Real functions (26-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Approximations and expansions (41-XX) 6 Quantum theory (81-XX) 6 Operations research, mathematical programming (90-XX) 6 Systems theory; control (93-XX) 4 Geophysics (86-XX) 4 Information and communication theory, circuits (94-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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