Edit Profile Bouchut, François Compute Distance To: Compute Author ID: bouchut.francois Published as: Bouchut, F.; Bouchut, Francois; Bouchut, François; Bouchut, Frančois Homepage: http://perso-math.univ-mlv.fr/users/bouchut.francois/ Documents Indexed: 93 Publications since 1991, including 2 Books all top 5 Co-Authors 15 single-authored 9 Mangeney, Anne 8 Zeitlin, Vladimir 7 Perthame, Benoît 6 Crippa, Gianluca 6 James, François 5 Berthelin, Florent 4 Eymard, Robert 4 Fernández-Nieto, Enrique Domingo 4 Golse, François 4 Morales de Luna, Tomás 4 Pelanti, Marica 3 Bohun, Anna 3 Desvillettes, Laurent 3 Klingenberg, Christian 3 Pallard, Christophe 3 Waagan, Knut 2 Audusse, Emmanuel 2 Bourdarias, Christian 2 Boyaval, Sébastien 2 Bristeau, Marie-Odile 2 Doyen, David 2 LeSommer, J. 2 Lhébrard, Xavier 2 Narbona-Reina, Gladys 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 Dolbeault, Jean 1 Dubos, Thomas 1 Ern, Alexandre 1 Farin, Maxime 1 Feix, Marc Roy 1 Figua, H. 1 Fijalkow, Eric 1 Franck, Emmanuel 1 Frid, Hermano 1 Guarguaglini, Francesca Romana 1 Guisset, Sebastien 1 Gula, J. 1 Ionescu, Ioan Romeo 1 Jin, Shi 1 Jobic, Yann 1 Klein, Rupert 1 Lagrée, Pierre-Yves 1 Lambaerts, Julien 1 Lapeyre, Guillaume 1 Lépingle, Dominique 1 Li, Xiantao 1 Lusso, Christelle 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 5 Numerische Mathematik 4 Journal of Computational Physics 4 Journal of Fluid Mechanics 4 Journal of Scientific Computing 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 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Archive for Rational Mechanics and Analysis 2 IMA Journal of Numerical Analysis 2 Journal of Statistical Physics 2 Mathematics of Computation 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 62 Partial differential equations (35-XX) 57 Fluid mechanics (76-XX) 29 Numerical analysis (65-XX) 20 Statistical mechanics, structure of matter (82-XX) 11 Geophysics (86-XX) 4 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 86 Publications have been cited 2,054 times in 1,310 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 255 2004 Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091Bouchut, François 224 2004 On zero pressure gas dynamics. Zbl 0863.76068Bouchut, F. 100 1994 One-dimensional transport equations with discontinuous coefficients. Zbl 0989.35130Bouchut, F.; James, F. 97 1998 Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Zbl 0937.35098Bouchut, François; James, François 67 1999 Construction of BGK models with a family of kinetic entropies for a given system of conservation laws. Zbl 0957.82028Bouchut, F. 65 1999 Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069Bouchut, F.; Perthame, B. 61 1998 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048Bouchut, François; Golse, François; Pulvirenti, Mario 59 2000 Hypoelliptic regularity in kinetic equations. Zbl 1045.35093Bouchut, F. 53 2002 Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions. Zbl 0777.35059Bouchut, François 52 1993 Numerical approximations of pressureless and isothermal gas dynamics. Zbl 1060.76080Bouchut, François; Jin, Shi; Li, Xiantao 45 2003 Renormalized solutions to the Vlasov equation with coefficients of bounded variation. Zbl 0979.35032Bouchut, François 40 2001 Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075Bouchut, François; Golse, François; Pallard, Christophe 38 2003 Entropy satisfying flux vector splittings and kinetic BGK models. Zbl 1029.65092Bouchut, F. 38 2003 Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159Bouchut, F.; Desvillettes, L. 38 1999 Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012Bouchut, François; Westdickenberg, Michael 35 2004 Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system. Zbl 0840.35053Bouchut, François 34 1995 A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014Bouchut, François; Desvillettes, Laurent 32 1998 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. 32 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 29 2003 Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076Bouchut, François; Crippa, Gianluca 27 2013 A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801Pelanti, Marica; Bouchut, François; Mangeney, Anne 27 2008 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. 25 2004 Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011Bouchut, F.; Guarguaglini, F. R.; Natalini, R. 24 2000 A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060Bouchut, François; Zeitlin, Vladimir 23 2010 A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework. Zbl 1126.76034Bouchut, François; Klingenberg, Christian; Waagan, Knut 23 2007 A hierarchy of models for two-phase flows. Zbl 0998.76088Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F. 23 2000 A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091Bouchut, F.; Bourdarias, Ch.; Perthame, B. 23 1996 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 21 2010 A subsonic-well-balanced reconstruction scheme for shallow water flows. Zbl 1369.76007Bouchut, François; Morales de Luna, Tomás 20 2010 An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110Bouchut, François; Morales de Luna, Tomás 20 2008 Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît 19 2007 Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient. Zbl 1170.35363James, Francois; Bouchut, Francois; Mancini, Simona 19 2005 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 A BGK model for small Prandtl number in the Navier-Stokes approximation. Zbl 0943.76500Bouchut, François; Perthame, Benoît 18 1993 Uniqueness, renormalization, and smooth approximations for linear transport equations. Zbl 1122.35104Bouchut, François; Crippa, Gianluca 17 2006 A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127Bouchut, François 17 2004 On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042Bouchut, F.; Desvillettes, L. 16 2001 On new erosion models of Savage-Hutter type for avalanches. Zbl 1152.76053Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Lagrée, P.-Y. 15 2008 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. 13 2002 A new model for shallow viscoelastic fluids. Zbl 1383.76031Bouchut, François; Boyaval, Sébastien 12 2013 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. 12 2008 Differentiability with respect to initial data for a scalar conservation law. Zbl 0928.35097Bouchut, François; James, François 12 1999 Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097Bouchut, François; Golse, François; Pallard, Christophe 11 2004 Weak solutions for a hyperbolic system with unilateral constraint and mass loss. Zbl 1079.76063Berthelin, F.; Bouchut, F. 11 2003 Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy. Zbl 1173.82351Berthelin, F.; Bouchut, F. 10 2002 Global weak solution of the Vlasov-Poisson system for small electrons mass. Zbl 0746.35047Bouchut, François 10 1991 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 Solution with finite energy to a BGK system relaxing to isentropic gas dynamics. Zbl 1006.82023Berthelin, Florent; Bouchut, François 8 2000 A nonlinear stochastic differential equation involving the Hilbert transform. Zbl 0935.60095Bonami, Aline; Bouchut, François; Cépa, Emmanuel; Lépingle, Dominique 8 1999 Lagrangian solutions to the Vlasov-Poisson system with \(L^1\) density. Zbl 1333.35287Bohun, Anna; Bouchut, François; Crippa, Gianluca 7 2016 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. 7 2010 Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation. Zbl 1203.65130Bouchut, F.; Morales de Luna, T. 7 2009 Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations. Zbl 1416.76243Bouchut, François; Jobic, Yann; Natalini, Roberto; Occelli, René; Pavan, Vincent 6 2018 Lagrangian flows for vector fields with anisotropic regularity. Zbl 1353.35118Bohun, Anna; Bouchut, François; Crippa, Gianluca 6 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 6 2016 Numerical modeling of two-phase gravitational granular flows with bottom topography. Zbl 1372.86002Pelanti, M.; Bouchut, F.; Mangeney, A.; Vilotte, J.-P. 6 2008 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 5 2016 Transport equations with a coefficient having a gradient given by a singular integral. Zbl 1185.35034Bouchut, François; Crippa, Gianluca 5 2008 Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. Zbl 1099.65066Bouchut, François; Frid, Hermano 5 2006 One-dimensional transport equations with discontinuous coefficients. Zbl 0829.35139Bouchut, François; James, François 5 1995 An example of MUSCL method satisfying all the numerical entropy inequalities. Zbl 0779.65061Bouchut, François; Bourdarias, Christian; Perthame, Benoît 5 1993 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 An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows. Zbl 1361.35140Bouchut, François; Ionescu, Ioan R.; Mangeney, Anne 4 2016 A 5-wave relaxation solver for the shallow water MHD system. Zbl 1342.76130Bouchut, François; Lhébrard, Xavier 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 Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. Zbl 1236.65117Bouchut, F.; Eymard, R.; Prignet, A. 4 2011 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 4 2009 An introduction to finite volume methods for hyperbolic conservation laws. Zbl 1083.76046Bouchut, Francois 4 2005 Breaking of balanced and unbalanced equatorial waves. Zbl 1080.76014Bouchut, F.; Le Sommer, J.; Zeitlin, V. 4 2005 Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. Zbl 1408.76020Bouchut, François; Boyaval, Sébastien 3 2016 Lagrangian solutions to the 2D Euler system with \(L^1\) vorticity and infinite energy. Zbl 1382.35199Bohun, Anna; Bouchut, François; Crippa, Gianluca 3 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 Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography. Zbl 1309.86004Tort, Marine; Dubos, Thomas; Bouchut, François; Zeitlin, Vladimir 2 2014 Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Zbl 1297.49012Bouchut, F.; Eymard, R.; Prignet, A. 2 2014 Numerical simulation of relativistic plasmas in hydrodynamic regime. Zbl 0900.65010Bouchut, F.; Bonnaud, G. 2 1996 A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. Zbl 1434.76078Bouchut, François; Franck, Emmanuel; Navoret, Laurent 1 2020 Convection and total variation flow. Zbl 1302.65202Bouchut, François; Doyen, David; Eymard, Robert 1 2014 A relaxation method for modeling two-phase shallow granular flows. Zbl 1407.76166Pelanti, Marica; Bouchut, François 1 2009 Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Zbl 1145.82338Bouchut, François; Golse, François; Pallard, Christophe 1 2004 Instability of the filtering method for Vlasov’s equation. Zbl 0994.76035Figua, H.; Bouchut, F.; Feix, M. R.; Fijalkow, E. 1 2000 Duality solutions for pressureless gases. Zbl 0911.35092Bouchut, François; James, François 1 1998 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 A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. Zbl 1434.76078Bouchut, François; Franck, Emmanuel; Navoret, Laurent 1 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 6 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 Lagrangian solutions to the Vlasov-Poisson system with \(L^1\) density. Zbl 1333.35287Bohun, Anna; Bouchut, François; Crippa, Gianluca 7 2016 Lagrangian flows for vector fields with anisotropic regularity. Zbl 1353.35118Bohun, Anna; Bouchut, François; Crippa, Gianluca 6 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 6 2016 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 5 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 4 2016 A 5-wave relaxation solver for the shallow water MHD system. Zbl 1342.76130Bouchut, François; Lhébrard, Xavier 4 2016 Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. Zbl 1408.76020Bouchut, François; Boyaval, Sébastien 3 2016 Lagrangian solutions to the 2D Euler system with \(L^1\) vorticity and infinite energy. Zbl 1382.35199Bohun, Anna; Bouchut, François; Crippa, Gianluca 3 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 2 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 27 2013 A new model for shallow viscoelastic fluids. Zbl 1383.76031Bouchut, François; Boyaval, Sébastien 12 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. 4 2011 A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060Bouchut, François; Zeitlin, Vladimir 23 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 21 2010 A subsonic-well-balanced reconstruction scheme for shallow water flows. Zbl 1369.76007Bouchut, François; Morales de Luna, Tomás 20 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. 7 2010 Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation. Zbl 1203.65130Bouchut, F.; Morales de Luna, T. 7 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 4 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 27 2008 An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110Bouchut, François; Morales de Luna, Tomás 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. 15 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. 12 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. Zbl 1185.35034Bouchut, François; Crippa, Gianluca 5 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 23 2007 Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît 19 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 5 2006 Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient. Zbl 1170.35363James, Francois; Bouchut, Francois; Mancini, Simona 19 2005 An introduction to finite volume methods for hyperbolic conservation laws. Zbl 1083.76046Bouchut, Francois 4 2005 Breaking of balanced and unbalanced equatorial waves. Zbl 1080.76014Bouchut, F.; Le Sommer, J.; Zeitlin, V. 4 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 255 2004 Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091Bouchut, François 224 2004 Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012Bouchut, François; Westdickenberg, Michael 35 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. 25 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 A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127Bouchut, François 17 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 45 2003 Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075Bouchut, François; Golse, François; Pallard, Christophe 38 2003 Entropy satisfying flux vector splittings and kinetic BGK models. Zbl 1029.65092Bouchut, F. 38 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 29 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. 53 2002 Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics. Zbl 1032.76064Berthelin, F.; Bouchut, F. 13 2002 Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy. Zbl 1173.82351Berthelin, F.; Bouchut, F. 10 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 40 2001 On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042Bouchut, F.; Desvillettes, L. 16 2001 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048Bouchut, François; Golse, François; Pulvirenti, Mario 59 2000 Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011Bouchut, F.; Guarguaglini, F. R.; Natalini, R. 24 2000 A hierarchy of models for two-phase flows. Zbl 0998.76088Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F. 23 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 Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Zbl 0937.35098Bouchut, François; James, François 67 1999 Construction of BGK models with a family of kinetic entropies for a given system of conservation laws. Zbl 0957.82028Bouchut, F. 65 1999 Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159Bouchut, F.; Desvillettes, L. 38 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. 97 1998 Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069Bouchut, F.; Perthame, B. 61 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. 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. 23 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 34 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. 32 1995 One-dimensional transport equations with discontinuous coefficients. Zbl 0829.35139Bouchut, François; James, François 5 1995 On zero pressure gas dynamics. Zbl 0863.76068Bouchut, F. 100 1994 Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions. Zbl 0777.35059Bouchut, François 52 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. 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 10 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 1,503 Authors 42 Bouchut, François 26 Berthon, Christophe 21 Chalons, Christophe 21 Parés Madroñal, Carlos 19 Perthame, Benoît 18 Crippa, Gianluca 18 Kurganov, Alexander 17 Gosse, Laurent 17 Jabin, Pierre-Emmanuel 17 Mai Duc Thanh 15 Yang, Hanchun 14 Berthelin, Florent 14 Castro, Manuel J. 14 Coquel, Frédéric 14 James, François 14 Shu, Chi-Wang 14 Zeitlin, Vladimir 13 Dumbser, Michael 13 Jin, Shi 13 Vauchelet, Nicolas 12 Fernández-Nieto, Enrique Domingo 12 Goudon, Thierry 12 Mangeney, Anne 12 Xing, Yulong 11 Karlsen, Kenneth Hvistendahl 11 LeFloch, Philippe Gerard 11 Marche, Fabien 11 Natalini, Roberto 10 Audusse, Emmanuel 10 Castro-Díaz, Manuel Jesús 10 Hérard, Jean-Marc 10 Popov, Boyan 10 Sainte-Marie, Jacques 10 Zuazua, Enrique 9 Ambrosio, Luigi 9 Bristeau, Marie-Odile 9 Chertock, Alina E. 9 Degond, Pierre 9 Godlewski, Edwige 9 Golse, François 9 Klingenberg, Christian 9 Li, Gang 9 Morales de Luna, Tomás 9 Shen, Chun 8 Benkhaldoun, Fayssal 8 Carrillo de la Plata, José Antonio 8 Cheng, Hongjun 8 Fox, Rodney O. 8 Liang, Qiuhua 8 Massot, Marc 8 Risebro, Nils Henrik 8 Seguin, Nicolas 8 Yang, Tong 7 Bianchini, Stefano 7 Chen, Gui-Qiang G. 7 Delestre, Olivier 7 Helluy, Philippe 7 Herty, Michael Matthias 7 Hwang, Hyung Ju 7 Kesserwani, Georges 7 Lagoutière, Frédéric 7 Lagrée, Pierre-Yves 7 Lannes, David 7 Mishra, Siddhartha 7 Navoret, Laurent 7 Noelle, Sebastian 7 Saint-Raymond, Laure 7 Seaïd, Mohammed 7 Soler, Juan S. 7 Sun, Meina 7 Vasseur, Alexis F. 7 Xu, Chao-Jiang 6 Alexandre, Radjesvarane 6 Alonso, Ricardo J. 6 Bostan, Mihai 6 Bürger, Raimund 6 Cuong, Dao Huy 6 Després, Bruno 6 Figalli, Alessio 6 Foucher, Françoise 6 Goatin, Paola 6 Guermond, Jean-Luc 6 Gwiazda, Piotr 6 Han-Kwan, Daniel 6 Hauray, Maxime 6 Hérau, Frédéric 6 Laurent, Frédérique 6 LeVeque, Randall J. 6 Li, Weixi 6 Lu, Xuguang 6 Lukáčová-Medvid’ová, Mária 6 Morimoto, Yoshinori 6 Pareschi, Lorenzo 6 Pelanti, Marica 6 Touma, Rony 6 Turpault, Rodolphe 6 Vázquez-Cendón, María Elena 6 Waagan, Knut 6 Yu, Hongjun 5 Aregba-Driollet, Denise ...and 1,403 more Authors all top 5 Cited in 192 Serials 134 Journal of Computational Physics 63 Journal of Differential Equations 62 Computers and Fluids 50 Journal of Scientific Computing 38 Archive for Rational Mechanics and Analysis 33 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 32 Journal of Fluid Mechanics 31 Mathematics of Computation 28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 26 Communications in Partial Differential Equations 25 Journal of Mathematical Analysis and Applications 23 Numerische Mathematik 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 20 Journal of Statistical Physics 19 Applied Mathematics and Computation 19 Comptes Rendus. Mathématique. Académie des Sciences, Paris 18 Journal of Hyperbolic Differential Equations 18 Kinetic and Related Models 17 SIAM Journal on Numerical Analysis 17 SIAM Journal on Mathematical Analysis 16 Communications in Mathematical Physics 15 International Journal for Numerical Methods in Fluids 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 European Journal of Mechanics. B. Fluids 14 Computers & Mathematics with Applications 14 Journal of Mathematical Physics 13 Computer Methods in Applied Mechanics and Engineering 13 Journal of Computational and Applied Mathematics 13 Journal of Functional Analysis 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 SIAM Journal on Scientific Computing 12 Networks and Heterogeneous Media 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Physics of Fluids 10 Applied Mathematics Letters 10 Applied Mathematical Modelling 9 Numerical Methods for Partial Differential Equations 9 Nonlinear Analysis. Real World Applications 9 Multiscale Modeling & Simulation 8 Quarterly of Applied Mathematics 8 Applied Numerical Mathematics 8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Bulletin of the Brazilian Mathematical Society. New Series 7 Mathematical Methods in the Applied Sciences 7 Chinese Annals of Mathematics. Series B 7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 6 Physica D 6 SIAM Journal on Applied Mathematics 6 Continuum Mechanics and Thermodynamics 6 Discrete and Continuous Dynamical Systems 6 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 6 Journal of Evolution Equations 5 Acta Mechanica 5 Journal of Engineering Mathematics 5 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 5 Acta Applicandae Mathematicae 5 Calculus of Variations and Partial Differential Equations 5 NoDEA. Nonlinear Differential Equations and Applications 5 Advances in Computational Mathematics 5 Computational Geosciences 5 Analysis and Applications (Singapore) 5 Acta Numerica 5 Advances in Mathematical Physics 4 Communications on Pure and Applied Mathematics 4 Nonlinearity 4 Revista Matemática Iberoamericana 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Bulletin des Sciences Mathématiques 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Analysis & PDE 4 Science China. Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 4 SMAI Journal of Computational Mathematics 3 Inventiones Mathematicae 3 Mathematics and Computers in Simulation 3 Mathematische Nachrichten 3 Systems & Control Letters 3 Journal of Mathematical Sciences (New York) 3 Mathematical Problems in Engineering 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 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Numerical Mathematics 3 Communications on Pure and Applied Analysis 3 Séminaire Laurent Schwartz. EDP et Applications 2 Mathematical Notes 2 Transport Theory and Statistical Physics 2 Acta Mathematica Vietnamica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Probability 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Calcolo 2 Duke Mathematical Journal 2 International Journal for Numerical Methods in Engineering 2 Meccanica 2 Studies in Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of the American Mathematical Society ...and 92 more Serials all top 5 Cited in 40 Fields 841 Partial differential equations (35-XX) 726 Fluid mechanics (76-XX) 475 Numerical analysis (65-XX) 212 Statistical mechanics, structure of matter (82-XX) 93 Geophysics (86-XX) 57 Probability theory and stochastic processes (60-XX) 41 Biology and other natural sciences (92-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 36 Mechanics of deformable solids (74-XX) 29 Ordinary differential equations (34-XX) 28 Optics, electromagnetic theory (78-XX) 25 Operations research, mathematical programming (90-XX) 22 Astronomy and astrophysics (85-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Integral equations (45-XX) 17 Functional analysis (46-XX) 17 Mechanics of particles and systems (70-XX) 13 Operator theory (47-XX) 13 Quantum theory (81-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Relativity and gravitational theory (83-XX) 10 Real functions (26-XX) 10 Classical thermodynamics, heat transfer (80-XX) 7 Systems theory; control (93-XX) 6 Measure and integration (28-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Statistics (62-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 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 1 Information and communication theory, circuits (94-XX) Citations by Year