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 more...less Homepage: http://perso-math.univ-mlv.fr/users/bouchut.francois/ Documents Indexed: 100 Publications since 1991, including 2 Books Co-Authors: 75 Co-Authors with 85 Joint Publications 1,914 Co-Co-Authors all top 5 Co-Authors 15 single-authored 15 Mangeney, Anne 9 Zeitlin, Vladimir 8 Fernández-Nieto, Enrique Domingo 8 Perthame, Benoît 6 Crippa, Gianluca 6 James, François 6 Narbona-Reina, Gladys 5 Berthelin, Florent 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 Lusso, Christelle 3 Pallard, Christophe 3 Waagan, Knut 2 Audusse, Emmanuel 2 Bourdarias, Christian 2 Boyaval, Sébastien 2 Bristeau, Marie-Odile 2 Delgado Sánchez, Juan M. 2 Doyen, David 2 Ern, Alexandre 2 LeSommer, J. 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 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 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 Geophysical and Astrophysical Fluid Dynamics 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 Applied Mathematical Modelling 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) 63 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 General and overarching topics; collections (00-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 92 Publications have been cited 2,524 times in 1,618 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 338 2004 Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091Bouchut, François 285 2004 On zero pressure gas dynamics. Zbl 0863.76068Bouchut, F. 122 1994 One-dimensional transport equations with discontinuous coefficients. Zbl 0989.35130Bouchut, F.; James, F. 106 1998 Construction of BGK models with a family of kinetic entropies for a given system of conservation laws. Zbl 0957.82028Bouchut, F. 78 1999 Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Zbl 0937.35098Bouchut, François; James, François 75 1999 Hypoelliptic regularity in kinetic equations. Zbl 1045.35093Bouchut, F. 75 2002 Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions. Zbl 0777.35059Bouchut, François 67 1993 Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069Bouchut, F.; Perthame, B. 63 1998 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048Bouchut, François; Golse, François; Pulvirenti, Mario 53 2000 Numerical approximations of pressureless and isothermal gas dynamics. Zbl 1060.76080Bouchut, François; Jin, Shi; Li, Xiantao 52 2003 Renormalized solutions to the Vlasov equation with coefficients of bounded variation. Zbl 0979.35032Bouchut, François 46 2001 Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012Bouchut, François; Westdickenberg, Michael 46 2004 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. 44 1995 Entropy satisfying flux vector splittings and kinetic BGK models. Zbl 1029.65092Bouchut, F. 43 2003 Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system. Zbl 0840.35053Bouchut, François 43 1995 Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075Bouchut, François; Golse, François; Pallard, Christophe 43 2003 Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159Bouchut, F.; Desvillettes, L. 41 1999 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 37 2003 Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076Bouchut, François; Crippa, Gianluca 36 2013 A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801Pelanti, Marica; Bouchut, François; Mangeney, Anne 35 2008 A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014Bouchut, François; Desvillettes, Laurent 32 1998 A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091Bouchut, F.; Bourdarias, Ch.; Perthame, B. 31 1996 A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060Bouchut, François; Zeitlin, Vladimir 31 2010 Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011Bouchut, F.; Guarguaglini, F. R.; Natalini, R. 28 2000 An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110Bouchut, François; Morales de Luna, Tomás 28 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. 28 2004 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 28 2010 A hierarchy of models for two-phase flows. Zbl 0998.76088Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F. 27 2000 A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework. Zbl 1126.76034Bouchut, François; Klingenberg, Christian; Waagan, Knut 27 2007 Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient. Zbl 1170.35363James, Francois; Bouchut, Francois; Mancini, Simona 26 2005 A subsonic-well-balanced reconstruction scheme for shallow water flows. Zbl 1369.76007Bouchut, François; Morales de Luna, Tomás 26 2010 Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît 21 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. 21 2008 On new erosion models of Savage-Hutter type for avalanches. Zbl 1152.76053Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Lagrée, P.-Y. 21 2008 Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo 20 2004 A BGK model for small Prandtl number in the Navier-Stokes approximation. Zbl 0943.76500Bouchut, François; Perthame, Benoît 19 1993 A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127Bouchut, François 19 2004 On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042Bouchut, F.; Desvillettes, L. 18 2001 Uniqueness, renormalization, and smooth approximations for linear transport equations. Zbl 1122.35104Bouchut, François; Crippa, Gianluca 18 2006 An antidiffusive entropy scheme for monotone scalar conservation laws. Zbl 1091.65084Bouchut, F. 18 2004 Global weak solution of the Vlasov-Poisson system for small electrons mass. Zbl 0746.35047Bouchut, François 16 1991 A new model for shallow viscoelastic fluids. Zbl 1383.76031Bouchut, François; Boyaval, Sébastien 16 2013 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 14 2016 Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics. Zbl 1032.76064Berthelin, F.; Bouchut, F. 14 2002 Differentiability with respect to initial data for a scalar conservation law. Zbl 0928.35097Bouchut, François; James, François 13 1999 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 Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097Bouchut, François; Golse, François; Pallard, Christophe 11 2004 A nonlinear stochastic differential equation involving the Hilbert transform. Zbl 0935.60095Bonami, Aline; Bouchut, François; Cépa, Emmanuel; Lépingle, Dominique 9 1999 Lagrangian flows for vector fields with anisotropic regularity. Zbl 1353.35118Bohun, Anna; Bouchut, François; Crippa, Gianluca 9 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. 9 2010 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 9 2011 Solution with finite energy to a BGK system relaxing to isentropic gas dynamics. Zbl 1006.82023Berthelin, Florent; Bouchut, François 8 2000 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 Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations. Zbl 1416.76243Bouchut, François; Jobic, Yann; Natalini, Roberto; Occelli, René; Pavan, Vincent 8 2018 Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system. Zbl 1416.65386Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Sainte-Marie, Jacques 8 2016 Lagrangian solutions to the Vlasov-Poisson system with \(L^1\) density. Zbl 1333.35287Bohun, Anna; Bouchut, François; Crippa, Gianluca 8 2016 Lagrangian solutions to the 2D Euler system with \(L^1\) vorticity and infinite energy. Zbl 1382.35199Bohun, Anna; Bouchut, François; Crippa, Gianluca 8 2016 Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation. Zbl 1203.65130Bouchut, F.; Morales de Luna, T. 8 2009 Numerical modeling of two-phase gravitational granular flows with bottom topography. Zbl 1372.86002Pelanti, M.; Bouchut, F.; Mangeney, A.; Vilotte, J.-P. 7 2008 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 7 2009 An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows. Zbl 1361.35140Bouchut, François; Ionescu, Ioan R.; Mangeney, Anne 7 2016 Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. Zbl 1099.65066Bouchut, François; Frid, Hermano 6 2006 Breaking of balanced and unbalanced equatorial waves. Zbl 1080.76014Bouchut, F.; Le Sommer, J.; Zeitlin, V. 6 2005 A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. Zbl 1434.76078Bouchut, François; Franck, Emmanuel; Navoret, Laurent 6 2020 A 5-wave relaxation solver for the shallow water MHD system. Zbl 1342.76130Bouchut, François; Lhébrard, Xavier 6 2016 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 One-dimensional transport equations with discontinuous coefficients. (Équations de transport unidimensionnelles à coefficients discontinus.) Zbl 0829.35139Bouchut, François; James, François 5 1995 Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography. Zbl 1309.86004Tort, Marine; Dubos, Thomas; Bouchut, François; Zeitlin, Vladimir 5 2014 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 Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. Zbl 1408.76020Bouchut, François; Boyaval, Sébastien 4 2016 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 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 two-phase shallow debris flow model with energy balance. Zbl 1310.76172Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G. 4 2015 A multi well-balanced scheme for the shallow water MHD system with topography. Zbl 1371.76160Bouchut, François; Lhébrard, Xavier 4 2017 Nonlinear adjustment of a front over escarpment. Zbl 1182.76075Bouchut, F.; Scherer, E.; Zeitlin, V. 3 2008 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 3 2020 Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation. Zbl 1030.35114Berthelin, F.; Bouchut, F. 3 2002 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 A relaxation method for modeling two-phase shallow granular flows. Zbl 1407.76166Pelanti, Marica; Bouchut, François 2 2009 Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Zbl 1297.49012Bouchut, F.; Eymard, R.; Prignet, A. 2 2014 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. (Solutions en dualité pour les gaz sans pression.) Zbl 0911.35092Bouchut, François; James, François 1 1998 Stability of relaxation models for conservation laws. Zbl 1079.35016Bouchut, François 1 2005 A two-layer shallow flow model with two axes of integration, well-balanced discretization and application to submarine avalanches. Zbl 1453.65246Delgado-Sánchez, J. M.; Bouchut, Francois; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G. 1 2020 Convergence of the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography. Zbl 1466.65091Bouchut, François; Lhébrard, Xavier 1 2021 Convection and total variation flow. Zbl 1302.65202Bouchut, François; Doyen, David; Eymard, Robert 1 2014 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 Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Zbl 1145.82338Bouchut, François; Golse, François; Pallard, Christophe 1 2004 Explicit solutions to a free interface model for the static/flowing transition in thin granular flows. Zbl 1481.35340Lusso, Christelle; Bouchut, François; Ern, Alexandre; Mangeney, Anne 1 2021 Convergence of the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography. Zbl 1466.65091Bouchut, François; Lhébrard, Xavier 1 2021 Explicit solutions to a free interface model for the static/flowing transition in thin granular flows. Zbl 1481.35340Lusso, Christelle; Bouchut, François; Ern, Alexandre; Mangeney, Anne 1 2021 A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. Zbl 1434.76078Bouchut, François; Franck, Emmanuel; Navoret, Laurent 6 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 3 2020 A two-layer shallow flow model with two axes of integration, well-balanced discretization and application to submarine avalanches. Zbl 1453.65246Delgado-Sánchez, J. M.; Bouchut, Francois; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G. 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 8 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 4 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 14 2016 Lagrangian flows for vector fields with anisotropic regularity. Zbl 1353.35118Bohun, Anna; Bouchut, François; Crippa, Gianluca 9 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 8 2016 Lagrangian solutions to the Vlasov-Poisson system with \(L^1\) density. Zbl 1333.35287Bohun, Anna; Bouchut, François; Crippa, Gianluca 8 2016 Lagrangian solutions to the 2D Euler system with \(L^1\) vorticity and infinite energy. Zbl 1382.35199Bohun, Anna; Bouchut, François; Crippa, Gianluca 8 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 7 2016 A 5-wave relaxation solver for the shallow water MHD system. Zbl 1342.76130Bouchut, François; Lhébrard, Xavier 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 5 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 36 2013 A new model for shallow viscoelastic fluids. Zbl 1383.76031Bouchut, François; Boyaval, Sébastien 16 2013 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 9 2011 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 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 31 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 28 2010 A subsonic-well-balanced reconstruction scheme for shallow water flows. Zbl 1369.76007Bouchut, François; Morales de Luna, Tomás 26 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 7 2009 A relaxation method for modeling two-phase shallow granular flows. Zbl 1407.76166Pelanti, Marica; Bouchut, François 2 2009 A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801Pelanti, Marica; Bouchut, François; Mangeney, Anne 35 2008 An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110Bouchut, François; Morales de Luna, Tomás 28 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. 21 2008 On new erosion models of Savage-Hutter type for avalanches. Zbl 1152.76053Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Lagrée, P.-Y. 21 2008 Numerical modeling of two-phase gravitational granular flows with bottom topography. Zbl 1372.86002Pelanti, M.; Bouchut, F.; Mangeney, A.; Vilotte, J.-P. 7 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 27 2007 Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît 21 2007 Uniqueness, renormalization, and smooth approximations for linear transport equations. Zbl 1122.35104Bouchut, François; Crippa, Gianluca 18 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 26 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 338 2004 Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091Bouchut, François 285 2004 Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012Bouchut, François; Westdickenberg, Michael 46 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. 28 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 20 2004 A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127Bouchut, François 19 2004 An antidiffusive entropy scheme for monotone scalar conservation laws. Zbl 1091.65084Bouchut, F. 18 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 52 2003 Entropy satisfying flux vector splittings and kinetic BGK models. Zbl 1029.65092Bouchut, F. 43 2003 Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075Bouchut, François; Golse, François; Pallard, Christophe 43 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 37 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. 75 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 46 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 53 2000 Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011Bouchut, F.; Guarguaglini, F. R.; Natalini, R. 28 2000 A hierarchy of models for two-phase flows. Zbl 0998.76088Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F. 27 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. 78 1999 Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Zbl 0937.35098Bouchut, François; James, François 75 1999 Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159Bouchut, F.; Desvillettes, L. 41 1999 Differentiability with respect to initial data for a scalar conservation law. Zbl 0928.35097Bouchut, François; James, François 13 1999 A nonlinear stochastic differential equation involving the Hilbert transform. Zbl 0935.60095Bonami, Aline; Bouchut, François; Cépa, Emmanuel; Lépingle, Dominique 9 1999 One-dimensional transport equations with discontinuous coefficients. Zbl 0989.35130Bouchut, F.; James, F. 106 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. 31 1996 Numerical simulation of relativistic plasmas in hydrodynamic regime. Zbl 0900.65010Bouchut, F.; Bonnaud, G. 2 1996 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. 44 1995 Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system. Zbl 0840.35053Bouchut, François 43 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. 122 1994 Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions. Zbl 0777.35059Bouchut, François 67 1993 A BGK model for small Prandtl number in the Navier-Stokes approximation. Zbl 0943.76500Bouchut, François; Perthame, Benoît 19 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 16 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 1,805 Authors 48 Bouchut, François 32 Berthon, Christophe 27 Kurganov, Alexander 27 Parés Madroñal, Carlos 23 Chalons, Christophe 21 Crippa, Gianluca 20 Jabin, Pierre-Emmanuel 20 Perthame, Benoît 20 Zeitlin, Vladimir 19 Castro, Manuel J. 19 Fernández-Nieto, Enrique Domingo 18 Mai Duc Thanh 18 Mangeney, Anne 17 Gosse, Laurent 16 Dumbser, Michael 16 Xing, Yulong 16 Yang, Hanchun 15 Coquel, Frédéric 14 Berthelin, Florent 14 James, François 14 Shu, Chi-Wang 13 Goudon, Thierry 13 Klingenberg, Christian 13 LeFloch, Philippe Gerard 13 Li, Gang 13 Morales de Luna, Tomás 13 Sainte-Marie, Jacques 13 Vauchelet, Nicolas 12 Carrillo de la Plata, José Antonio 12 Castro-Díaz, Manuel Jesús 12 Hérard, Jean-Marc 12 Marche, Fabien 12 Popov, Boyan 11 Audusse, Emmanuel 11 Chertock, Alina E. 11 Godlewski, Edwige 11 Karlsen, Kenneth Hvistendahl 11 Natalini, Roberto 11 Seaïd, Mohammed 11 Shen, Chun 11 Zuazua, Enrique 10 Benkhaldoun, Fayssal 10 Bristeau, Marie-Odile 10 Cheng, Hongjun 10 Jin, Shi 10 Massot, Marc 10 Noelle, Sebastian 10 Seguin, Nicolas 9 Ambrosio, Luigi 9 Bianchini, Stefano 9 Brull, Stephane 9 Degond, Pierre 9 Helluy, Philippe 9 Herty, Michael Matthias 9 Hwang, Hyung Ju 9 Lagoutière, Frédéric 8 Cuong, Dao Huy 8 Després, Bruno 8 Dong, Jian 8 Dubroca, Bruno 8 Foucher, Françoise 8 Fox, Rodney O. 8 Golse, François 8 Guermond, Jean-Luc 8 Han-Kwan, Daniel 8 Liang, Qiuhua 8 Lukáčová-Medvid’ová, Mária 8 Narbona-Reina, Gladys 8 Navoret, Laurent 8 Risebro, Nils Henrik 8 Sun, Meina 8 Yang, Tong 7 Alonso, Ricardo J. 7 Chandrashekar, Praveen 7 Chen, Gui-Qiang G. 7 Delestre, Olivier 7 Gray, John Mark Nicholas Timm 7 Kesserwani, Georges 7 Lagrée, Pierre-Yves 7 Lannes, David 7 Li, Weixi 7 Michel-Dansac, Victor 7 Mishra, Siddhartha 7 Morimoto, Yoshinori 7 Mouhot, Clément 7 Perrin, Charlotte 7 Soler, Juan S. 7 Spirito, Stefano 7 Turpault, Rodolphe 7 Vasseur, Alexis F. 7 Wu, Kailiang 7 Xu, Chao-Jiang 7 Yun, Seok-Bae 6 Alexandre, Radjesvarane 6 Aregba-Driollet, Denise 6 Arsénio, Diogo 6 Bostan, Mihai 6 Bourdarias, Christian 6 Boyaval, Sébastien 6 Bresch, Didier ...and 1,705 more Authors all top 5 Cited in 238 Serials 169 Journal of Computational Physics 73 Computers and Fluids 66 Journal of Differential Equations 66 Journal of Scientific Computing 43 Archive for Rational Mechanics and Analysis 41 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 30 Communications in Partial Differential Equations 27 Journal of Mathematical Analysis and Applications 27 Kinetic and Related Models 26 Applied Mathematics and Computation 25 Numerische Mathematik 24 Journal of Statistical Physics 22 Journal de Mathématiques Pures et Appliquées. Neuvième Série 22 SIAM Journal on Mathematical Analysis 21 SIAM Journal on Numerical Analysis 20 SIAM Journal on Scientific Computing 20 Journal of Hyperbolic Differential Equations 19 Communications in Computational Physics 18 Communications in Mathematical Physics 18 European Journal of Mechanics. B. Fluids 17 Computers & Mathematics with Applications 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Journal of Mathematical Physics 16 Applied Numerical Mathematics 15 International Journal for Numerical Methods in Fluids 15 Applied Mathematical Modelling 14 Computer Methods in Applied Mechanics and Engineering 14 Journal of Computational and Applied Mathematics 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Journal of Functional Analysis 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Applied Mathematics Letters 13 Networks and Heterogeneous Media 13 International Journal on Finite Volumes 11 Physics of Fluids 10 Quarterly of Applied Mathematics 10 Multiscale Modeling & Simulation 9 Acta Applicandae Mathematicae 9 Numerical Methods for Partial Differential Equations 9 Nonlinear Analysis. Real World Applications 8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Journal of Evolution Equations 8 Bulletin of the Brazilian Mathematical Society. New Series 7 Mathematical Methods in the Applied Sciences 7 Nonlinearity 7 Chinese Annals of Mathematics. Series B 7 Advances in Computational Mathematics 7 Discrete and Continuous Dynamical Systems 7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 6 Geophysical and Astrophysical Fluid Dynamics 6 Calcolo 6 Transactions of the American Mathematical Society 6 Physica D 6 SIAM Journal on Applied Mathematics 6 Continuum Mechanics and Thermodynamics 6 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 6 Science China. Mathematics 5 Acta Mechanica 5 Journal of Engineering Mathematics 5 Proceedings of the American Mathematical Society 5 Revista Matemática Iberoamericana 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Calculus of Variations and Partial Differential Equations 5 NoDEA. Nonlinear Differential Equations and Applications 5 Computational Geosciences 5 Analysis and Applications (Singapore) 5 Acta Numerica 5 Analysis & PDE 5 Advances in Mathematical Physics 5 Advances in Applied Mathematics and Mechanics 5 Séminaire Laurent Schwartz. EDP et Applications 5 SMAI Journal of Computational Mathematics 4 Communications on Pure and Applied Mathematics 4 Mathematics and Computers in Simulation 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 Nonlinear Analysis. Theory, Methods & Applications 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 Acta Mathematica Scientia. Series B. (English Edition) 3 Journal of Numerical Mathematics 3 Communications on Pure and Applied Analysis 3 Annals of PDE 3 Pure and Applied Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Notes ...and 138 more Serials all top 5 Cited in 39 Fields 1,044 Partial differential equations (35-XX) 936 Fluid mechanics (76-XX) 618 Numerical analysis (65-XX) 241 Statistical mechanics, structure of matter (82-XX) 122 Geophysics (86-XX) 70 Probability theory and stochastic processes (60-XX) 47 Biology and other natural sciences (92-XX) 46 Mechanics of deformable solids (74-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 33 Optics, electromagnetic theory (78-XX) 28 Ordinary differential equations (34-XX) 28 Operations research, mathematical programming (90-XX) 24 Astronomy and astrophysics (85-XX) 22 Dynamical systems and ergodic theory (37-XX) 21 Functional analysis (46-XX) 19 Mechanics of particles and systems (70-XX) 18 Integral equations (45-XX) 16 Operator theory (47-XX) 15 Quantum theory (81-XX) 14 Real functions (26-XX) 14 Relativity and gravitational theory (83-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Classical thermodynamics, heat transfer (80-XX) 10 Measure and integration (28-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Systems theory; control (93-XX) 7 Computer science (68-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Statistics (62-XX) 2 Integral transforms, operational calculus (44-XX) 2 Information and communication theory, circuits (94-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX) Citations by Year