Edit Profile (opens in new tab) Bouchut, François Compute Distance To: Compute Author ID: bouchut.francois Published as: Bouchut, François; Bouchut, F.; Bouchut, Francois; Bouchut, Frančois Homepage: http://perso-math.univ-mlv.fr/users/bouchut.francois/ Documents Indexed: 98 Publications since 1991, including 2 Books Co-Authors: 76 Co-Authors with 83 Joint Publications 1,808 Co-Co-Authors all top 5 Co-Authors 15 single-authored 13 Mangeney, Anne 8 Perthame, Benoît 8 Zeitlin, Vladimir 7 Fernández-Nieto, Enrique Domingo 6 Crippa, Gianluca 6 James, François 5 Berthelin, Florent 5 Narbona-Reina, Gladys 4 Desvillettes, Laurent 4 Eymard, Robert 4 Golse, François 4 Morales de Luna, Tomás 4 Pelanti, Marica 3 Bohun, Anna 3 Klingenberg, Christian 3 Lhébrard, Xavier 3 Pallard, Christophe 3 Waagan, Knut 2 Audusse, Emmanuel 2 Bourdarias, Christian 2 Boyaval, Sébastien 2 Bristeau, Marie-Odile 2 Doyen, David 2 Ern, Alexandre 2 LeSommer, J. 2 Lusso, Christelle 2 Natalini, Roberto 2 Prignet, Alain 2 Vilotte, Jean-Pierre 1 Ambrosio, Luigi 1 Bonami, Aline 1 Bonnaud, Guy 1 Brenier, Yann 1 Bresch, Didier 1 Castro-Díaz, Manuel Jesús 1 Cépa, Emmanuel 1 Chalons, Christophe 1 Cortes, Julien 1 De Lellis, Camillo 1 Delgado Sánchez, Juan M. 1 Dolbeault, Jean 1 Dubos, Thomas 1 Farin, Maxime 1 Feix, Marc Roy 1 Figua, H. 1 Fijalkow, Eric 1 Franck, Emmanuel 1 Frid, Hermano 1 Garres-Díaz, José 1 Guarguaglini, Francesca Romana 1 Guisset, Sebastien 1 Gula, Jonathan 1 Ionescu, Ioan Romeo 1 Jin, Shi 1 Jobic, Yann 1 Klein, Rupert 1 Koné, El Hadji 1 Lagrée, Pierre-Yves 1 Lambaerts, Julien 1 Lapeyre, Guillaume 1 Lépingle, Dominique 1 Li, Xiantao 1 Mancini, Simona 1 Mangeney-Castelnau, Anne 1 Navoret, Laurent 1 Occelli, René 1 Ounaissa, Haythem 1 Pavan, Vincent 1 Pulvirenti, Mario 1 Ribstein, Bruno 1 Ripoll, J. F. 1 Roche, Olivier 1 Sainte-Marie, Jacques 1 Scherer, Emilie 1 Tort, Marine 1 Westdickenberg, Michael all top 5 Serials 7 Journal of Computational Physics 5 Numerische Mathematik 4 Journal of Fluid Mechanics 4 Journal of Scientific Computing 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Mathematics of Computation 3 Journal of Differential Equations 3 Communications in Partial Differential Equations 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Physics of Fluids 3 Journal of Hyperbolic Differential Equations 2 Archive for Rational Mechanics and Analysis 2 IMA Journal of Numerical Analysis 2 Journal of Statistical Physics 2 Journal of Functional Analysis 2 SIAM Journal on Numerical Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Revista Matemática Iberoamericana 2 Differential and Integral Equations 2 Séminaire Équations aux Dérivées Partielles 2 Journal of Evolution Equations 2 Communications in Mathematical Sciences 1 Acta Mechanica 1 Computers & Mathematics with Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Indiana University Mathematics Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Asymptotic Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 SIAM Journal on Scientific Computing 1 Methods and Applications of Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Chaos 1 European Journal of Mechanics. B. Fluids 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Nonlinear Analysis. Theory, Methods & Applications 1 Frontiers in Mathematics 1 SMAI Journal of Computational Mathematics all top 5 Fields 64 Partial differential equations (35-XX) 62 Fluid mechanics (76-XX) 32 Numerical analysis (65-XX) 20 Statistical mechanics, structure of matter (82-XX) 12 Geophysics (86-XX) 6 Mechanics of deformable solids (74-XX) 2 Ordinary differential equations (34-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 2,319 times in 1,486 Documents Cited by ▼ Year ▼ A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît 307 2004 Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091Bouchut, François 261 2004 On zero pressure gas dynamics. Zbl 0863.76068Bouchut, F. 111 1994 One-dimensional transport equations with discontinuous coefficients. Zbl 0989.35130Bouchut, F.; James, F. 102 1998 Construction of BGK models with a family of kinetic entropies for a given system of conservation laws. Zbl 0957.82028Bouchut, F. 73 1999 Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Zbl 0937.35098Bouchut, François; James, François 71 1999 Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069Bouchut, F.; Perthame, B. 63 1998 Hypoelliptic regularity in kinetic equations. Zbl 1045.35093Bouchut, F. 63 2002 Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions. Zbl 0777.35059Bouchut, François 59 1993 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048Bouchut, François; Golse, François; Pulvirenti, Mario 49 2000 Numerical approximations of pressureless and isothermal gas dynamics. Zbl 1060.76080Bouchut, François; Jin, Shi; Li, Xiantao 48 2003 Entropy satisfying flux vector splittings and kinetic BGK models. Zbl 1029.65092Bouchut, F. 42 2003 Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012Bouchut, François; Westdickenberg, Michael 41 2004 Renormalized solutions to the Vlasov equation with coefficients of bounded variation. Zbl 0979.35032Bouchut, François 41 2001 Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159Bouchut, F.; Desvillettes, L. 39 1999 Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075Bouchut, François; Golse, François; Pallard, Christophe 39 2003 Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system. Zbl 0840.35053Bouchut, François 38 1995 On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials. Zbl 0830.35129Bouchut, François; Dolbeault, J. 38 1995 A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows. Zbl 1044.35056Bouchut, François; Mangeney-Castelnau, Anne; Perthame, Benoît; Vilotte, Jean-Pierre 34 2003 Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076Bouchut, François; Crippa, Gianluca 32 2013 A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014Bouchut, François; Desvillettes, Laurent 32 1998 A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801Pelanti, Marica; Bouchut, François; Mangeney, Anne 32 2008 A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060Bouchut, François; Zeitlin, Vladimir 28 2010 A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091Bouchut, F.; Bourdarias, Ch.; Perthame, B. 27 1996 Frontal geostrophic adjustment and nonlinear wave phenomena in one-dimensional rotating shallow water. II: High-resolution numerical simulations. Zbl 1067.76093Bouchut, F.; Le Sommer, J.; Zeitlin, V. 26 2004 An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110Bouchut, François; Morales de Luna, Tomás 26 2008 A hierarchy of models for two-phase flows. Zbl 0998.76088Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F. 26 2000 Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011Bouchut, F.; Guarguaglini, F. R.; Natalini, R. 26 2000 A subsonic-well-balanced reconstruction scheme for shallow water flows. Zbl 1369.76007Bouchut, François; Morales de Luna, Tomás 25 2010 A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework. Zbl 1126.76034Bouchut, François; Klingenberg, Christian; Waagan, Knut 25 2007 A multiwave approximate Riemann solver for ideal MHD based on relaxation. II: Numerical implementation with 3 and 5 waves. Zbl 1426.76338Bouchut, François; Klingenberg, Christian; Waagan, Knut 24 2010 Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient. Zbl 1170.35363James, Francois; Bouchut, Francois; Mancini, Simona 23 2005 Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît 20 2007 A new Savage-Hutter type model for submarine avalanches and generated tsunami. Zbl 1156.76015Fernández-Nieto, E. D.; Bouchut, F.; Bresch, D.; Castro Díaz, M. J.; Mangeney, A. 20 2008 A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127Bouchut, François 19 2004 Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo 18 2004 On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042Bouchut, F.; Desvillettes, L. 18 2001 A BGK model for small Prandtl number in the Navier-Stokes approximation. Zbl 0943.76500Bouchut, François; Perthame, Benoît 18 1993 On new erosion models of Savage-Hutter type for avalanches. Zbl 1152.76053Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Lagrée, P.-Y. 18 2008 Uniqueness, renormalization, and smooth approximations for linear transport equations. Zbl 1122.35104Bouchut, François; Crippa, Gianluca 17 2006 A new model for shallow viscoelastic fluids. Zbl 1383.76031Bouchut, François; Boyaval, Sébastien 16 2013 An antidiffusive entropy scheme for monotone scalar conservation laws. Zbl 1091.65084Bouchut, F. 15 2004 Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics. Zbl 1032.76064Berthelin, F.; Bouchut, F. 14 2002 Global weak solution of the Vlasov-Poisson system for small electrons mass. Zbl 0746.35047Bouchut, François 14 1991 Differentiability with respect to initial data for a scalar conservation law. Zbl 0928.35097Bouchut, François; James, François 12 1999 A two-phase two-layer model for fluidized granular flows with dilatancy effects. Zbl 1445.76087Bouchut, François; Fernández-Nieto, Enrique D.; Mangeney, Anne; Narbona-Reina, Gladys 12 2016 Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097Bouchut, François; Golse, François; Pallard, Christophe 11 2004 Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy. Zbl 1173.82351Berthelin, F.; Bouchut, F. 11 2002 Weak solutions for a hyperbolic system with unilateral constraint and mass loss. Zbl 1079.76063Berthelin, F.; Bouchut, F. 11 2003 Instabilities of buoyancy-driven coastal currents and their nonlinear evolution in the two-layer rotating shallow water model. II: Active lower layer. Zbl 1225.76132Gula, J.; Zeitlin, V.; Bouchut, F. 9 2010 A nonlinear stochastic differential equation involving the Hilbert transform. Zbl 0935.60095Bonami, Aline; Bouchut, François; Cépa, Emmanuel; Lépingle, Dominique 8 1999 Lagrangian flows for vector fields with anisotropic regularity. Zbl 1353.35118Bohun, Anna; Bouchut, François; Crippa, Gianluca 8 2016 Inertial, barotropic, and baroclinic instabilities of the Bickley jet in two-layer rotating shallow water model. Zbl 1308.76180Bouchut, François; Ribstein, Bruno; Zeitlin, Vladimir 8 2011 Lagrangian solutions to the Vlasov-Poisson system with \(L^1\) density. Zbl 1333.35287Bohun, Anna; Bouchut, François; Crippa, Gianluca 8 2016 Solution with finite energy to a BGK system relaxing to isentropic gas dynamics. Zbl 1006.82023Berthelin, Florent; Bouchut, François 8 2000 A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers. Zbl 1283.76048Pelanti, Marica; Bouchut, François; Mangeney, Anne 8 2011 Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation. Zbl 1203.65130Bouchut, F.; Morales de Luna, T. 8 2009 Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system. Zbl 1416.65386Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Sainte-Marie, Jacques 7 2016 Lagrangian solutions to the 2D Euler system with \(L^1\) vorticity and infinite energy. Zbl 1382.35199Bohun, Anna; Bouchut, François; Crippa, Gianluca 7 2016 Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations. Zbl 1416.76243Bouchut, François; Jobic, Yann; Natalini, Roberto; Occelli, René; Pavan, Vincent 7 2018 Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. Zbl 1099.65066Bouchut, François; Frid, Hermano 6 2006 Fronts and nonlinear waves in a simplified shallow-water model of the atmosphere with moisture and convection. Zbl 1183.76106Bouchut, François; Lambaerts, Julien; Lapeyre, Guillaume; Zeitlin, Vladimir 6 2009 Numerical modeling of two-phase gravitational granular flows with bottom topography. Zbl 1372.86002Pelanti, M.; Bouchut, F.; Mangeney, A.; Vilotte, J.-P. 6 2008 Breaking of balanced and unbalanced equatorial waves. Zbl 1080.76014Bouchut, F.; Le Sommer, J.; Zeitlin, V. 6 2005 A 5-wave relaxation solver for the shallow water MHD system. Zbl 1342.76130Bouchut, François; Lhébrard, Xavier 6 2016 An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows. Zbl 1361.35140Bouchut, François; Ionescu, Ioan R.; Mangeney, Anne 6 2016 Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. Zbl 1236.65117Bouchut, F.; Eymard, R.; Prignet, A. 5 2011 One-dimensional transport equations with discontinuous coefficients. (Équations de transport unidimensionnelles à coefficients discontinus.) Zbl 0829.35139Bouchut, François; James, François 5 1995 An example of MUSCL method satisfying all the numerical entropy inequalities. (Un exemple de méthode MUSCL satisfaisant toutes les inégalités d’entropie numériques.) Zbl 0779.65061Bouchut, François; Bourdarias, Christian; Perthame, Benoît 5 1993 Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography. Zbl 1309.86004Tort, Marine; Dubos, Thomas; Bouchut, François; Zeitlin, Vladimir 4 2014 A two-phase shallow debris flow model with energy balance. Zbl 1310.76172Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G. 4 2015 Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse. Zbl 1375.74020Lusso, Christelle; Ern, Alexandre; Bouchut, François; Mangeney, Anne; Farin, Maxime; Roche, Olivier 4 2017 Transport equations with a coefficient having a gradient given by a singular integral. (Équations de transport à coefficient dont le gradient est donné par une intégrale singulière.) Zbl 1185.35034Bouchut, François; Crippa, Gianluca 4 2008 Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. Zbl 1408.76020Bouchut, François; Boyaval, Sébastien 4 2016 Nonlinear adjustment of a front over escarpment. Zbl 1182.76075Bouchut, F.; Scherer, E.; Zeitlin, V. 3 2008 Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation. Zbl 1030.35114Berthelin, F.; Bouchut, F. 3 2002 A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. Zbl 1434.76078Bouchut, François; Franck, Emmanuel; Navoret, Laurent 3 2020 A multi well-balanced scheme for the shallow water MHD system with topography. Zbl 1371.76160Bouchut, François; Lhébrard, Xavier 3 2017 Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Zbl 1297.49012Bouchut, F.; Eymard, R.; Prignet, A. 2 2014 An introduction to finite volume methods for hyperbolic conservation laws. Zbl 1083.76046Bouchut, Francois 2 2005 Numerical simulation of relativistic plasmas in hydrodynamic regime. Zbl 0900.65010Bouchut, F.; Bonnaud, G. 2 1996 An entropy satisfying two-speed relaxation system for the barotropic Euler equations: application to the numerical approximation of low Mach number flows. Zbl 1434.76098Bouchut, François; Chalons, Christophe; Guisset, Sébastien 2 2020 A relaxation method for modeling two-phase shallow granular flows. Zbl 1407.76166Pelanti, Marica; Bouchut, François 1 2009 Convection and total variation flow. Zbl 1302.65202Bouchut, François; Doyen, David; Eymard, Robert 1 2014 Instability of the filtering method for Vlasov’s equation. Zbl 0994.76035Figua, H.; Bouchut, F.; Feix, M. R.; Fijalkow, E. 1 2000 Existence de solutions régulières globales pour le système de Vlasov-Poisson-Fokker-Planck en dimension trois. (Existence of global regular solutions for the Vlasov-Poisson-Fokker-Planck system in three dimensions). Zbl 0743.35083Bouchut, François 1 1991 Duality solutions for pressureless gases. (Solutions en dualité pour les gaz sans pression.) Zbl 0911.35092Bouchut, François; James, François 1 1998 Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Zbl 1145.82338Bouchut, François; Golse, François; Pallard, Christophe 1 2004 Stability of relaxation models for conservation laws. Zbl 1079.35016Bouchut, François 1 2005 A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. Zbl 1434.76078Bouchut, François; Franck, Emmanuel; Navoret, Laurent 3 2020 An entropy satisfying two-speed relaxation system for the barotropic Euler equations: application to the numerical approximation of low Mach number flows. Zbl 1434.76098Bouchut, François; Chalons, Christophe; Guisset, Sébastien 2 2020 Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations. Zbl 1416.76243Bouchut, François; Jobic, Yann; Natalini, Roberto; Occelli, René; Pavan, Vincent 7 2018 Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse. Zbl 1375.74020Lusso, Christelle; Ern, Alexandre; Bouchut, François; Mangeney, Anne; Farin, Maxime; Roche, Olivier 4 2017 A multi well-balanced scheme for the shallow water MHD system with topography. Zbl 1371.76160Bouchut, François; Lhébrard, Xavier 3 2017 A two-phase two-layer model for fluidized granular flows with dilatancy effects. Zbl 1445.76087Bouchut, François; Fernández-Nieto, Enrique D.; Mangeney, Anne; Narbona-Reina, Gladys 12 2016 Lagrangian flows for vector fields with anisotropic regularity. Zbl 1353.35118Bohun, Anna; Bouchut, François; Crippa, Gianluca 8 2016 Lagrangian solutions to the Vlasov-Poisson system with \(L^1\) density. Zbl 1333.35287Bohun, Anna; Bouchut, François; Crippa, Gianluca 8 2016 Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system. Zbl 1416.65386Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Sainte-Marie, Jacques 7 2016 Lagrangian solutions to the 2D Euler system with \(L^1\) vorticity and infinite energy. Zbl 1382.35199Bohun, Anna; Bouchut, François; Crippa, Gianluca 7 2016 A 5-wave relaxation solver for the shallow water MHD system. Zbl 1342.76130Bouchut, François; Lhébrard, Xavier 6 2016 An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows. Zbl 1361.35140Bouchut, François; Ionescu, Ioan R.; Mangeney, Anne 6 2016 Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. Zbl 1408.76020Bouchut, François; Boyaval, Sébastien 4 2016 A two-phase shallow debris flow model with energy balance. Zbl 1310.76172Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G. 4 2015 Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography. Zbl 1309.86004Tort, Marine; Dubos, Thomas; Bouchut, François; Zeitlin, Vladimir 4 2014 Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Zbl 1297.49012Bouchut, F.; Eymard, R.; Prignet, A. 2 2014 Convection and total variation flow. Zbl 1302.65202Bouchut, François; Doyen, David; Eymard, Robert 1 2014 Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076Bouchut, François; Crippa, Gianluca 32 2013 A new model for shallow viscoelastic fluids. Zbl 1383.76031Bouchut, François; Boyaval, Sébastien 16 2013 Inertial, barotropic, and baroclinic instabilities of the Bickley jet in two-layer rotating shallow water model. Zbl 1308.76180Bouchut, François; Ribstein, Bruno; Zeitlin, Vladimir 8 2011 A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers. Zbl 1283.76048Pelanti, Marica; Bouchut, François; Mangeney, Anne 8 2011 Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. Zbl 1236.65117Bouchut, F.; Eymard, R.; Prignet, A. 5 2011 A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060Bouchut, François; Zeitlin, Vladimir 28 2010 A subsonic-well-balanced reconstruction scheme for shallow water flows. Zbl 1369.76007Bouchut, François; Morales de Luna, Tomás 25 2010 A multiwave approximate Riemann solver for ideal MHD based on relaxation. II: Numerical implementation with 3 and 5 waves. Zbl 1426.76338Bouchut, François; Klingenberg, Christian; Waagan, Knut 24 2010 Instabilities of buoyancy-driven coastal currents and their nonlinear evolution in the two-layer rotating shallow water model. II: Active lower layer. Zbl 1225.76132Gula, J.; Zeitlin, V.; Bouchut, F. 9 2010 Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation. Zbl 1203.65130Bouchut, F.; Morales de Luna, T. 8 2009 Fronts and nonlinear waves in a simplified shallow-water model of the atmosphere with moisture and convection. Zbl 1183.76106Bouchut, François; Lambaerts, Julien; Lapeyre, Guillaume; Zeitlin, Vladimir 6 2009 A relaxation method for modeling two-phase shallow granular flows. Zbl 1407.76166Pelanti, Marica; Bouchut, François 1 2009 A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801Pelanti, Marica; Bouchut, François; Mangeney, Anne 32 2008 An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110Bouchut, François; Morales de Luna, Tomás 26 2008 A new Savage-Hutter type model for submarine avalanches and generated tsunami. Zbl 1156.76015Fernández-Nieto, E. D.; Bouchut, F.; Bresch, D.; Castro Díaz, M. J.; Mangeney, A. 20 2008 On new erosion models of Savage-Hutter type for avalanches. Zbl 1152.76053Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Lagrée, P.-Y. 18 2008 Numerical modeling of two-phase gravitational granular flows with bottom topography. Zbl 1372.86002Pelanti, M.; Bouchut, F.; Mangeney, A.; Vilotte, J.-P. 6 2008 Transport equations with a coefficient having a gradient given by a singular integral. (Équations de transport à coefficient dont le gradient est donné par une intégrale singulière.) Zbl 1185.35034Bouchut, François; Crippa, Gianluca 4 2008 Nonlinear adjustment of a front over escarpment. Zbl 1182.76075Bouchut, F.; Scherer, E.; Zeitlin, V. 3 2008 A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework. Zbl 1126.76034Bouchut, François; Klingenberg, Christian; Waagan, Knut 25 2007 Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît 20 2007 Uniqueness, renormalization, and smooth approximations for linear transport equations. Zbl 1122.35104Bouchut, François; Crippa, Gianluca 17 2006 Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. Zbl 1099.65066Bouchut, François; Frid, Hermano 6 2006 Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient. Zbl 1170.35363James, Francois; Bouchut, Francois; Mancini, Simona 23 2005 Breaking of balanced and unbalanced equatorial waves. Zbl 1080.76014Bouchut, F.; Le Sommer, J.; Zeitlin, V. 6 2005 An introduction to finite volume methods for hyperbolic conservation laws. Zbl 1083.76046Bouchut, Francois 2 2005 Stability of relaxation models for conservation laws. Zbl 1079.35016Bouchut, François 1 2005 A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît 307 2004 Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091Bouchut, François 261 2004 Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012Bouchut, François; Westdickenberg, Michael 41 2004 Frontal geostrophic adjustment and nonlinear wave phenomena in one-dimensional rotating shallow water. II: High-resolution numerical simulations. Zbl 1067.76093Bouchut, F.; Le Sommer, J.; Zeitlin, V. 26 2004 A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127Bouchut, François 19 2004 Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo 18 2004 An antidiffusive entropy scheme for monotone scalar conservation laws. Zbl 1091.65084Bouchut, F. 15 2004 Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097Bouchut, François; Golse, François; Pallard, Christophe 11 2004 Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Zbl 1145.82338Bouchut, François; Golse, François; Pallard, Christophe 1 2004 Numerical approximations of pressureless and isothermal gas dynamics. Zbl 1060.76080Bouchut, François; Jin, Shi; Li, Xiantao 48 2003 Entropy satisfying flux vector splittings and kinetic BGK models. Zbl 1029.65092Bouchut, F. 42 2003 Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075Bouchut, François; Golse, François; Pallard, Christophe 39 2003 A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows. Zbl 1044.35056Bouchut, François; Mangeney-Castelnau, Anne; Perthame, Benoît; Vilotte, Jean-Pierre 34 2003 Weak solutions for a hyperbolic system with unilateral constraint and mass loss. Zbl 1079.76063Berthelin, F.; Bouchut, F. 11 2003 Hypoelliptic regularity in kinetic equations. Zbl 1045.35093Bouchut, F. 63 2002 Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics. Zbl 1032.76064Berthelin, F.; Bouchut, F. 14 2002 Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy. Zbl 1173.82351Berthelin, F.; Bouchut, F. 11 2002 Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation. Zbl 1030.35114Berthelin, F.; Bouchut, F. 3 2002 Renormalized solutions to the Vlasov equation with coefficients of bounded variation. Zbl 0979.35032Bouchut, François 41 2001 On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042Bouchut, F.; Desvillettes, L. 18 2001 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048Bouchut, François; Golse, François; Pulvirenti, Mario 49 2000 A hierarchy of models for two-phase flows. Zbl 0998.76088Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F. 26 2000 Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011Bouchut, F.; Guarguaglini, F. R.; Natalini, R. 26 2000 Solution with finite energy to a BGK system relaxing to isentropic gas dynamics. Zbl 1006.82023Berthelin, Florent; Bouchut, François 8 2000 Instability of the filtering method for Vlasov’s equation. Zbl 0994.76035Figua, H.; Bouchut, F.; Feix, M. R.; Fijalkow, E. 1 2000 Construction of BGK models with a family of kinetic entropies for a given system of conservation laws. Zbl 0957.82028Bouchut, F. 73 1999 Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Zbl 0937.35098Bouchut, François; James, François 71 1999 Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159Bouchut, F.; Desvillettes, L. 39 1999 Differentiability with respect to initial data for a scalar conservation law. Zbl 0928.35097Bouchut, François; James, François 12 1999 A nonlinear stochastic differential equation involving the Hilbert transform. Zbl 0935.60095Bonami, Aline; Bouchut, François; Cépa, Emmanuel; Lépingle, Dominique 8 1999 One-dimensional transport equations with discontinuous coefficients. Zbl 0989.35130Bouchut, F.; James, F. 102 1998 Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069Bouchut, F.; Perthame, B. 63 1998 A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014Bouchut, François; Desvillettes, Laurent 32 1998 Duality solutions for pressureless gases. (Solutions en dualité pour les gaz sans pression.) Zbl 0911.35092Bouchut, François; James, François 1 1998 A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091Bouchut, F.; Bourdarias, Ch.; Perthame, B. 27 1996 Numerical simulation of relativistic plasmas in hydrodynamic regime. Zbl 0900.65010Bouchut, F.; Bonnaud, G. 2 1996 Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system. Zbl 0840.35053Bouchut, François 38 1995 On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials. Zbl 0830.35129Bouchut, François; Dolbeault, J. 38 1995 One-dimensional transport equations with discontinuous coefficients. (Équations de transport unidimensionnelles à coefficients discontinus.) Zbl 0829.35139Bouchut, François; James, François 5 1995 On zero pressure gas dynamics. Zbl 0863.76068Bouchut, F. 111 1994 Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions. Zbl 0777.35059Bouchut, François 59 1993 A BGK model for small Prandtl number in the Navier-Stokes approximation. Zbl 0943.76500Bouchut, François; Perthame, Benoît 18 1993 An example of MUSCL method satisfying all the numerical entropy inequalities. (Un exemple de méthode MUSCL satisfaisant toutes les inégalités d’entropie numériques.) Zbl 0779.65061Bouchut, François; Bourdarias, Christian; Perthame, Benoît 5 1993 Global weak solution of the Vlasov-Poisson system for small electrons mass. Zbl 0746.35047Bouchut, François 14 1991 Existence de solutions régulières globales pour le système de Vlasov-Poisson-Fokker-Planck en dimension trois. (Existence of global regular solutions for the Vlasov-Poisson-Fokker-Planck system in three dimensions). Zbl 0743.35083Bouchut, François 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 1,628 Authors 46 Bouchut, François 28 Berthon, Christophe 24 Parés Madroñal, Carlos 23 Kurganov, Alexander 21 Chalons, Christophe 21 Crippa, Gianluca 20 Perthame, Benoît 19 Jabin, Pierre-Emmanuel 18 Castro, Manuel J. 18 Fernández-Nieto, Enrique Domingo 18 Zeitlin, Vladimir 17 Gosse, Laurent 17 Mai Duc Thanh 17 Mangeney, Anne 16 Dumbser, Michael 15 Xing, Yulong 15 Yang, Hanchun 14 Berthelin, Florent 14 Coquel, Frédéric 14 James, François 14 Shu, Chi-Wang 13 Goudon, Thierry 13 LeFloch, Philippe Gerard 13 Sainte-Marie, Jacques 13 Vauchelet, Nicolas 12 Klingenberg, Christian 12 Li, Gang 12 Marche, Fabien 12 Morales de Luna, Tomás 11 Audusse, Emmanuel 11 Castro-Díaz, Manuel Jesús 11 Chertock, Alina E. 11 Karlsen, Kenneth Hvistendahl 11 Natalini, Roberto 11 Popov, Boyan 11 Seaïd, Mohammed 11 Shen, Chun 10 Benkhaldoun, Fayssal 10 Bristeau, Marie-Odile 10 Carrillo de la Plata, José Antonio 10 Godlewski, Edwige 10 Jin, Shi 10 Zuazua, Enrique 9 Ambrosio, Luigi 9 Brull, Stephane 9 Degond, Pierre 9 Hérard, Jean-Marc 9 Seguin, Nicolas 8 Bianchini, Stefano 8 Cheng, Hongjun 8 Dubroca, Bruno 8 Fox, Rodney O. 8 Golse, François 8 Helluy, Philippe 8 Herty, Michael Matthias 8 Hwang, Hyung Ju 8 Liang, Qiuhua 8 Massot, Marc 8 Navoret, Laurent 8 Noelle, Sebastian 8 Risebro, Nils Henrik 8 Sun, Meina 8 Yang, Tong 7 Alonso, Ricardo J. 7 Chandrashekar, Praveen 7 Chen, Gui-Qiang G. 7 Cuong, Dao Huy 7 Delestre, Olivier 7 Foucher, Françoise 7 Guermond, Jean-Luc 7 Han-Kwan, Daniel 7 Kesserwani, Georges 7 Lagoutière, Frédéric 7 Lagrée, Pierre-Yves 7 Lannes, David 7 Li, Weixi 7 Lukáčová-Medvid’ová, Mária 7 Mishra, Siddhartha 7 Morimoto, Yoshinori 7 Narbona-Reina, Gladys 7 Soler, Juan S. 7 Spirito, Stefano 7 Turpault, Rodolphe 7 Vasseur, Alexis F. 7 Xu, Chao-Jiang 6 Alexandre, Radjesvarane 6 Aregba-Driollet, Denise 6 Bostan, Mihai 6 Bresch, Didier 6 Bürger, Raimund 6 Colombo, Rinaldo M. 6 Després, Bruno 6 Duran, Arnaud 6 Dutykh, Denys 6 Edwards, Andrew N. 6 Figalli, Alessio 6 Goatin, Paola 6 Gray, John Mark Nicholas Timm 6 Gwiazda, Piotr 6 Hauray, Maxime ...and 1,528 more Authors all top 5 Cited in 214 Serials 148 Journal of Computational Physics 72 Computers and Fluids 64 Journal of Differential Equations 60 Journal of Scientific Computing 41 Archive for Rational Mechanics and Analysis 38 Journal of Fluid Mechanics 36 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 34 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 32 Mathematics of Computation 29 Communications in Partial Differential Equations 26 Journal of Mathematical Analysis and Applications 23 Journal of Statistical Physics 23 Numerische Mathematik 23 Kinetic and Related Models 22 Applied Mathematics and Computation 22 Journal de Mathématiques Pures et Appliquées. Neuvième Série 21 SIAM Journal on Mathematical Analysis 19 Communications in Computational Physics 18 SIAM Journal on Numerical Analysis 18 Journal of Hyperbolic Differential Equations 17 SIAM Journal on Scientific Computing 17 European Journal of Mechanics. B. Fluids 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Communications in Mathematical Physics 15 Computers & Mathematics with Applications 15 International Journal for Numerical Methods in Fluids 14 Journal of Mathematical Physics 14 Annales de l’Institut Henri Poincaré. 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EDP et Applications 4 Communications on Pure and Applied Mathematics 4 Geophysical and Astrophysical Fluid Dynamics 4 Mathematics and Computers in Simulation 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Mathematical Problems in Engineering 4 Matematicheskoe Modelirovanie 4 Discrete and Continuous Dynamical Systems. Series B 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Analysis & PDE 4 Nonlinear Analysis. Theory, Methods & Applications 4 SMAI Journal of Computational Mathematics 3 Inventiones Mathematicae 3 Mathematische Nachrichten 3 Systems & Control Letters 3 Journal of Nonlinear Science 3 Computational Optimization and Applications 3 Journal of Mathematical Sciences (New York) 3 Bulletin des Sciences Mathématiques 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Flow, Turbulence and Combustion 3 Foundations of Computational Mathematics 3 Journal of Numerical Mathematics 3 Communications on Pure and Applied Analysis 3 Annals of PDE 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Notes 2 Transport Theory and Statistical Physics 2 Acta Mathematica Vietnamica 2 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 114 more Serials all top 5 Cited in 38 Fields 957 Partial differential equations (35-XX) 841 Fluid mechanics (76-XX) 553 Numerical analysis (65-XX) 222 Statistical mechanics, structure of matter (82-XX) 112 Geophysics (86-XX) 61 Probability theory and stochastic processes (60-XX) 44 Biology and other natural sciences (92-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 41 Mechanics of deformable solids (74-XX) 29 Optics, electromagnetic theory (78-XX) 28 Ordinary differential equations (34-XX) 27 Operations research, mathematical programming (90-XX) 25 Astronomy and astrophysics (85-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Functional analysis (46-XX) 18 Mechanics of particles and systems (70-XX) 17 Integral equations (45-XX) 14 Operator theory (47-XX) 14 Quantum theory (81-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Classical thermodynamics, heat transfer (80-XX) 12 Relativity and gravitational theory (83-XX) 11 Real functions (26-XX) 9 Measure and integration (28-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Computer science (68-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year