Publications


Books, or chapters of books
Numerical methods: entropy schemes, relaxation, well-balanced schemes...
Granular flows
Ocean and atmosphere
Analysis of hyperbolic problems



Books, or chapters of books


V. Zeitlin, F. Bouchut, S. Medvedev, G. Reznik, A. Stegner. Nonlinear dynamics of rotating shallow water: methods and advances, Edited Series on Advances in Nonlinear Science and Complexity, Vol. 2, Elsevier, 2007, ISBN 0-444-52258-1. DOI: 10.1016/S1574-6909(06)02004-1 Elsevier site
F. Bouchut. Nonlinear stability of finite volume methods for hyperbolic conservation laws, and well-balanced schemes for sources, Frontiers in Mathematics series, Birkhäuser, 2004, ISBN 3-7643-6665-6. DOI: 10.1007/b93802 Birkhäuser site
F. Bouchut, F. Golse, M. Pulvirenti. Kinetic equations and asymptotic theory, Series in Appl. Math., Gauthiers-Villars, 2000, ISBN 2-84299-110-9.

Numerical methods: entropy schemes, relaxation, well-balanced schemes...


F. Bouchut, D. Doyen, R. Eymard. Convection and total variation flow -- erratum and improvement. IMA J. Numer. Anal., 37(4):2139-2169, 2017. DOI: 10.1093/imanum/drw076 Abstract Full text
F. Bouchut, X. Lhébrard. Convergence of the the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography. Preprint, 2017. Abstract Full text
F. Bouchut, Y. Jobic, R. Natalini, R. Occelli, V. Pavan. Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations. Preprint, 2016. Abstract Full text
F. Bouchut, X. Lhébrard. A multi well-balanced scheme for the shallow water MHD system with topography. Numer. Math., 136(4):875--905, 2017. DOI: 10.1007/s00211-017-0865-y Abstract Full text
F. Bouchut, X. Lhébrard. A 5-wave relaxation solver for the shallow water MHD system. J. Scientific Comput., 68(1):92--115, 2016. DOI: 10.1007/s10915-015-0130-4 Abstract Full text
E. Audusse, F. Bouchut, M.-O. Bristeau, J. Sainte-Marie. Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system. Math. Comput., 85:2815--2837, 2016. DOI: 10.1090/mcom/3099 Abstract Full text
F. Bouchut, R. Eymard, A. Prignet. Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. J. Evolution Eq., 14(3):635--669, 2014. DOI: 10.1007/s00028-014-0231-9 Abstract Full text
F. Bouchut, D. Doyen, R. Eymard. Convection and total variation flow. IMA J. Numer. Anal., 34(3):1037--1071, 2014. DOI: 10.1093/imanum/drt039 Abstract Full text
F. Bouchut, R. Eymard, A. Prignet. Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. J. Evolution Eq., 11(3):687--724, 2011. DOI: 10.1007/s00028-011-0106-2 Abstract Full text
M. Pelanti, F. Bouchut, A. Mangeney. A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers. J. Comput. Phys., 230(3):515--550, 2011. DOI: 10.1016/j.jcp.2010.10.001 Abstract Full text
F. Bouchut, V. Zeitlin. A robust well-balanced scheme for multi-layer shallow water equations. Discrete and Continuous Dynamical Systems - Series B, 13(4):739--758, 2010. DOI: 10.3934/dcdsb.2010.13.739 Abstract Full text
F. Bouchut, T. Morales. Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation. J. Scientific Comput., 41(3):483--509, 2009. DOI: 10.1007/s10915-009-9311-3 Abstract Full text
F. Bouchut, T. Morales. A subsonic-well-balanced reconstruction scheme for shallow water flows. Siam J. Numer. Anal., 48(5):1733--1758, 2010. DOI: 10.1137/090758416 Abstract Full text
F. Bouchut, C. Klingenberg, K. Waagan. A multiwave approximate Riemann solver for ideal MHD based on relaxation II - Numerical implementation with 3 and 5 waves. Numer. Math., 115(4):647--679, 2010. DOI: 10.1007/s00211-010-0289-4 Abstract Full text
M. Pelanti, F. Bouchut, A. Mangeney. A Roe-type scheme for two-phase shallow granular flows over variable topography. ESAIM: Math. Modelling Numer. Anal., 42(5):851--885, 2008. DOI: 10.1051/m2an:2008029 Abstract Full text
F. Bouchut, T. Morales. An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. ESAIM: Math. Modelling Numer. Anal., 42(4):683--698, 2008. DOI: 10.1051/m2an:2008019 Abstract Full text
F. Bouchut, C. Klingenberg, K. Waagan. A multiwave approximate Riemann solver for ideal MHD based on relaxation I - Theoretical framework. Numer. Math., 108(1):7--42, 2007. DOI: 10.1007/s00211-007-0108-8 Abstract Full text
M. Pelanti, F. Bouchut, A. Mangeney, J.-P. Vilotte. Numerical modeling of two-phase gravitational granular flows with bottom topography. In Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17--21, 2006, Benzoni-Gavage, Sylvie et al. ed. , pages 825--832, Springer, 2008. DOI: 10.1007/978-3-540-75712-2_85
F. Bouchut. An introduction to finite volume methods for hyperbolic conservation laws. In ESAIM: Proceedings, Vol. 15, GRIP - Research Group on Particle Interactions, Sophia-Antipolis, France, March 23-24, 2005, T. Goudon, E. Sonnendrucker & D. Talay, Editors , pages 1--17, 2005. DOI: 10.1051/proc:2005020
F. Bouchut, H. Ounaissa, B. Perthame. Upwinding of the source term at interfaces for Euler equations with high friction. Computers and Mathematics with Applications, 53(3-4):361--375, 2007. DOI: 10.1016/j.camwa.2006.02.055 Abstract Full text
F. Bouchut, H. Frid. Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. J. Hyp. Diff. Eq., 3(1):27--52, 2006. DOI: 10.1142/S0219891606000719 Abstract Full text
E. Audusse, F. Bouchut, M.-O. Bristeau, R. Klein, B. Perthame. A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. SIAM J. Sci. Comp., 25(6):2050--2065, 2004. DOI: 10.1137/S1064827503431090 Abstract Full text
F. Bouchut. An antidiffusive entropy scheme for monotone scalar conservation laws. J. Sci. Comput., 21(1):1--30, 2004. DOI: 10.1023/B:JOMP.0000027953.74841.8c Abstract Full text Fortran code
F. Bouchut, S. Jin and X. Li. Numerical approximations of pressureless and isothermal gas dynamics, SIAM J. Numer. Anal., 41(1):135--158, 2003. DOI: 10.1137/S0036142901398040 Abstract Full text
F. Bouchut. Entropy satisfying flux vector splittings and kinetic BGK models. Numer. Math., 94(4):623--672, 2003. DOI: 10.1007/s00211-002-0426-9 Abstract Full text
F. Bouchut, Y. Brenier, J. Cortes, and J.-F. Ripoll. A hierarchy of models for two-phase flows. J. Nonlinear Sci., 10(6):639--660, 2000. DOI: 10.1007/s003320010006 Abstract Full text
F. Bouchut, F.R. Guarguaglini, and R. Natalini. Diffusive bgk approximations for nonlinear multidimensional parabolic equations. Indiana Univ. Math. J., 49(2):723--749, 2000. DOI: 10.1512/iumj.2000.49.1811 Abstract Full text
H. Figua, F. Bouchut, M.R. Feix and E. Fijalkow. Instability of the filtering method for Vlasov's equation. J. Comput. Phys., 159(2):440--447, 2000. DOI: 10.1006/jcph.2000.6423
C. Geronimi, F. Bouchut, M.R. Feix, H. Ghalila, M. Valentini and J.-M. Buzzi. Transient electromagnetic field. European J. Phys., 18(2):102--107, 1997. DOI: 10.1088/0143-0807/18/2/009 Abstract Full text
F. Bouchut, G. Bonnaud, S. Dussy, and E. Lefebvre. Comportement électromagnétique d'un plasma en régimes hydrodynamique et relativiste : code de simulation RHEA. Technical report, CEA, 1998. Reference: CEA-R-5807 Abstract Full text
F. Bouchut. On the discrete conservation of the Gauss-Poisson equation of plasma Physics. Commun. Numer. Meth. Engng., 14(1):23--34, 1998. DOI: 10.1002/(SICI)1099-0887(199801)14:1<23::AID-CNM126>3.0.CO;2-1 Abstract Full text
F. Bouchut and G. Bonnaud. Numerical simulation of relativistic plasmas in hydrodynamic regime. Z. Angew. Math. Mech., 76(supplement 1):287--290, 1996. Proceedings of the ICIAM 95, Numerical Analysis, Scientific Computing, Computer Science. DOI: 10.1002/zamm.19960761108 Abstract Full text
F. Bouchut, Ch. Bourdarias, and B. Perthame. A MUSCL method satisfying all the numerical entropy inequalities. Math. Comput., 65(216):1439--1461, 1996. DOI: 10.1090/S0025-5718-96-00752-1 Abstract Full text
F. Bouchut, Ch. Bourdarias, and B. Perthame. Un exemple de méthode MUSCL satisfaisant toutes les inégalités d'entropie numériques. C.R. Acad. Sci. Paris, série I, 317(6):619--624, 1993.

Granular flows


F. Bouchut, E.D. Fernandez-Nieto, E.H. Koné, A. Mangeney, G. Narbona-Reina. A two-phase solid-fluid model for dense granular flows including dilatancy effects: comparison with submarine granular collapse experiments. EPJ Web of Conferences, 140:09039, 2017. DOI: 10.1051/epjconf/201714009039 Abstract Full text
M. Brunet, L. Moretti, A. Le Friant, A. Mangeney, E.D. Fernandez-Nieto, F. Bouchut. Numerical simulation of the 30--45 ka debris avalanche flow of Montagne Pelée volcano, Martinique: from volcano flank collapse to submarine emplacement. Natural Hazards, 87(2):1189-1222, 2017. DOI: 10.1007/s11069-017-2815-5
N. Martin, I.R. Ionescu, A. Mangeney, F. Bouchut, M. Farin. Continuum viscoplastic simulation of a granular column collapse on large slopes: $\mu(I)$ rheology and lateral wall effects. Phys. Fluids, 29(1):013301, 2017. DOI: 10.1063/1.4971320 Abstract Full text
C. Lusso, F. Bouchut, A. Ern, A. Mangeney. A free interface model for static/flowing dynamics in thin-layer flows of granular materials with yield: simple shear simulations and comparison with experiments. Applied Sciences Basel, 7(4):386, 2017. DOI: 10.3390/app7040386 Abstract Full text
C. Lusso, F. Bouchut, A. Ern, A. Mangeney. Explicit solutions to a free interface model for the static/flowing transition in thin granular flows. Preprint, 2015. Abstract Full text
F. Bouchut, E.D. Fernandez-Nieto, A. Mangeney, G. Narbona-Reina. A two-phase two-layer model for fluidized granular flows with dilatancy effects. J. Fluid Mech., 801:166--221, 2016. DOI: 10.1017/jfm.2016.417 Abstract Full text
L. Moretti, K. Allstadt, A. Mangeney, Y. Capdeville, E. Stutzmann, F. Bouchut. Numerical modeling of the mount Meager landslide constrained by its force history derived from seismic data. J. Geophys. Res.: Solid Earth, 120:2579--2599, 2015. DOI: 10.1002/2014JB011426
C. Lusso, A. Ern, F. Bouchut, A. Mangeney, M. Farin, O. Roche. Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse. J. Comput. Phys., 333:387--408, 2017. DOI: 10.1016/j.jcp.2016.12.036 Abstract Full text
F. Bouchut, I.R. Ionescu, A. Mangeney. An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows. Comm. Math. Sci., 14(8):2101--2126, 2016. DOI: 10.4310/CMS.2016.v14.n8.a2 Abstract Full text
I.R. Ionescu, A. Mangeney, F. Bouchut, O. Roche. Viscoplastic modeling of granular column collapse with pressure-dependent rheology. J. Non-Newtonian Fluid Mech., 219:1--18, 2015. DOI: 10.1016/j.jnnfm.2015.02.006 Abstract Full text
F. Bouchut, S. Boyaval. Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. European J. Mech. - B/Fluids, 55(1):116--131, 2016. DOI: 10.1016/j.euromechflu.2015.09.003 Abstract Full text
F. Bouchut, E.D. Fernandez-Nieto, A. Mangeney, G. Narbona-Reina. A two-phase shallow debris flow model with energy balance. ESAIM: Math. Modelling Numer. Anal., 49(1):101--140, 2015. DOI: 10.1051/m2an/2014026 Abstract Full text
L. Moretti, A. Mangeney, Y. Capdeville, E. Stutzmann, C. Huggel, D. Schneider, F. Bouchut. Numerical modeling of the mount Steller landslide flow history and of the generated long period seismic waves. Geophys. Res. Letters, 39: L16402, 2012. DOI: 10.1029/2012GL052511
F. Bouchut, S. Boyaval. A new model for shallow viscoelastic fluids. Math. Models Meth. Appl. Sci., 23(8):1479--1526, 2013. DOI: 10.1142/S0218202513500140 Abstract Full text
A. Lucas, A. Mangeney, D. Mège, F. Bouchut. Influence of the scar geometry on landslide dynamics and deposits: application to Martian landslides. J. Geophys. Res. Planets, 116:E10001, 2011. DOI: 10.1029/2011JE003803
P. Favreau, A. Mangeney, A. Lucas, G. Crosta, F. Bouchut. Numerical modeling of landquakes. Geophys. Res. Letters, 37:L15305, 2010. DOI: 10.1029/2010GL043512
N. Mangold, A. Mangeney, V. Migeon, V. Ansan, A. Lucas, D. Baratoux, F. Bouchut. Sinuous gullies on Mars: frequency, distribution, and implications for flow properties. J. Geophys. Res. Planets, 115:E11001, 2010. DOI: 10.1029/2009JE003540
C.Y. Kuo, Y.C. Tai, F. Bouchut, A. Mangeney, M. Pelanti, R.F. Chen, K.J. Chang. Simulation of Tsaoling landslide, Taiwan, based on Saint Venant equations over general topography. Engineering Geology, 104(3-4):181--189, 2009. DOI: 10.1016/j.enggeo.2008.10.003
A. Mangeney, L.S. Tsimring, D. Volfson, I.S. Aranson, F. Bouchut. Avalanche mobility induced by the presence of an erodible bed and associated entrainment. Geophys. Res. Letters, 34:22401, 2007. DOI: 10.1029/2007GL031348
E.D. Fernández-Nieto, F. Bouchut, D. Bresch, M.J. Castro Díaz, A. Mangeney. A new Savage-Hutter type model for submarine avalanches and generated tsunami. J. Comput. Phys., 227(16):7720--7754, 2008. DOI: 10.1016/j.jcp.2008.04.039
F. Bouchut, E.D. Fernández-Nieto, A. Mangeney, P.-Y. Lagrée. On new erosion models of Savage-Hutter type for avalanches. Acta Mech., 199(1-4):181--208, 2008. DOI: 10.1007/s00707-007-0534-9 Abstract Full text
A. Lucas, A. Mangeney, F. Bouchut, M.-O. Bristeau, D. Mège. Benchmarking exercises for granular flows. In International forum on landslide disaster management, Hong Kong, 2007. Abstract Full text
A. Mangeney, F. Bouchut, N. Thomas, J.-P. Vilotte, M.-O. Bristeau. Numerical modeling of self-channeling granular flows and of their levee/channel deposits. J. Geophys. Res. Earth Surface, 112:F02017, 2007. DOI: 10.1029/2006JF000469 Abstract Full text
A. Mangeney-Castelnau, F. Bouchut, J.-P. Vilotte, E. Lajeunesse, A. Aubertin, M. Pirulli. On the use of Saint Venant equations to simulate the spreading of a granular mass. J. Geophys. Res.: Solid Earth, 110(B9):B09103, 2005. DOI: 10.1029/2004JB003161 Abstract Full text
F. Bouchut, M. Westdickenberg. Gravity driven shallow water models for arbitrary topography. Comm. Math. Sci., 2(3):359--389, 2004. DOI: 10.4310/CMS.2004.v2.n3.a2 Abstract Full text
A. Mangeney-Castelnau, J.-P. Vilotte, M.-O. Bristeau, B. Perthame, F. Bouchut, C. Simeoni and S. Yerneni. Numerical modeling of avalanches based on Saint Venant equations using a kinetic scheme. J. Geophys. Res.: Solid Earth, 108:2527, 2004. DOI: 10.1029/2002JB002024
F. Bouchut, A. Mangeney-Castelnau, B. Perthame, and J.-P. Vilotte. A new model of Saint Venant and Savage-Hutter type for gravity driven shallow water flows. C.R. Acad. Sci. Paris, série I, 336(6):531--536, 2003. DOI: 10.1016/S1631-073X(03)00117-1 Abstract Full text

Ocean and atmosphere


V. Zeitlin, C. Lusso and F. Bouchut. Geostrophic vs magneto-geostrophic adjustment and nonlinear magneto-inertia-gravity waves in rotating shallow water magnetohydrodynamics. Geophys. Astrophys. Fluid Dynamics, 109(5):497--523, 2015. DOI: 10.1080/03091929.2015.1072178
M. Tort, T. Dubos, F. Bouchut and V. Zeitlin. Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography. J. Fluid Mech., 748:789--821, 2014. DOI: 10.1017/jfm.2014.172 Abstract Full text
F. Bouchut, B. Ribstein and V. Zeitlin. Inertial, barotropic and baroclinic instabilities of the Bickley jet in two - layer rotating shallow water model. Phys. Fluids, 23:126601, 2011. DOI: 10.1063/1.3661995 Abstract Full text
J. Lambaerts, G. Lapeyre, V. Zeitlin and F. Bouchut. Simplified two-layer models of precipitating atmosphere and their properties. Phys. Fluids, 23:046603, 2011. DOI: 10.1063/1.3582356
J. Gula, V. Zeitlin, F. Bouchut. Instabilities of buoyancy driven coastal currents and their nonlinear evolution in the two-layer rotating shallow water model. Part II. Active lower layer. J. Fluid Mech., 665:209--237, 2010. DOI: 10.1017/S0022112010003903 Abstract Full text
F. Bouchut, J. Lambaerts, G. Lapeyre and V. Zeitlin. Fronts and nonlinear waves in a simplified shallow water model of the atmosphere with moisture and convection. Phys. Fluids, 21:116604, 2009. DOI: 10.1063/1.3265970
F. Bouchut, E. Scherer, V. Zeitlin. Nonlinear adjustment of a front over escarpment. Phys. Fluids, 20(1):016602, 2008. DOI: 10.1063/1.2834731
F. Bouchut, J. LeSommer, V. Zeitlin. Breaking of balanced and unbalanced equatorial waves. Chaos, 15(1):13503--13521, 2005. DOI: 10.1063/1.1857171
F. Bouchut, J. Le Sommer and V. Zeitlin. Frontal geostrophic adjustment and nonlinear-wave phenomena in one dimensional rotating shallow water. Part 2: high-resolution numerical simulations. J. Fluid Mech., 514:35--63, 2004. DOI: 10.1017/S0022112004009991 Abstract Full text

Analysis of hyperbolic problems


A. Bohun, F. Bouchut, G. Crippa. Lagrangian flows for vector fields with anisotropic regularity. Ann. IHP Analyse non linéaire, 33(6):1409--1429, 2016. DOI: 10.1016/j.anihpc.2015.05.005 Abstract Full text
A. Bohun, F. Bouchut, G. Crippa. Lagrangian solutions to the 2D Euler system with L1 vorticity and infinite energy. Nonlinear Analysis, Theory, Methods and Applications, 132:160--172, 2016. DOI: 10.1016/j.na.2015.11.004 Abstract Full text
A. Bohun, F. Bouchut, G. Crippa. Lagrangian solutions to the Vlasov-Poisson system with L1 density. J. Diff. Eq., 260(4):3576--3597, 2016. DOI: 10.1016/j.jde.2015.10.041 Abstract Full text
F. Bouchut, G. Crippa. Lagrangian flows for vector fields with gradient given by a singular integral. J. Hyp. Diff. Eq., 10(2):235--282, 2013. DOI: 10.1142/S0219891613500100 Abstract Full text
F. Bouchut, G. Crippa. Equations de transport à coefficient dont le gradient est donné par une intégrale singulière. In séminaire EDP, Ecole Polytechnique, 2007--2008. exposé n. 1. Abstract Full text
F. Bouchut, G. Crippa. Uniqueness, renormalization and smooth approximations for linear transport equations. SIAM J. Math. Anal., 38(4):1316--1328, 2006. DOI: 10.1137/06065249X Abstract Full text
F. Bouchut. Stability of relaxation models for conservation laws. In European congress of mathematics (ECM), Stockholm, Sweden, June 27--July 2, 2004, pages 95--101. European Mathematical Society, 2005. Abstract Full text
F. Bouchut, F. James, S. Mancini. Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient. Ann. Scuola Normale Superiore di Pisa, Classe di Scienze (5), 4(1):1--25, 2005. DOI: 10.2422/2036-2145.2005.1.01 Abstract Full text
L. Ambrosio, F. Bouchut, C. DeLellis. Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Comm. Partial Diff. Eq., 29(9-10):1635--1651, 2004. DOI: 10.1081/PDE-200040210
F. Bouchut, F. Golse and C. Pallard. Classical solutions and the Glassey-Strauss theorem for the 3d Vlasov-Maxwell system. Archive Rational Mech. Anal., 170(1):1--15, 2003. DOI: 10.1007/s00205-003-0265-6 Abstract Full text
F. Bouchut, F. Golse and C. Pallard. Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Revista Matemática Iberoamericana, 20(3):865--892, 2004. DOI: 10.4171/RMI/409 Abstract Full text
F. Bouchut. A reduced stability condition for nonlinear relaxation to conservation laws. J. Hyp. Diff. Eq., 1(1):149--170, 2004. DOI: 10.1142/S0219891604000020 Abstract Full text
F. Berthelin and F. Bouchut. Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy. Meth. and Appl. of Analysis, 9(2):313--327, 2002. DOI: 10.4310/MAA.2002.v9.n2.a7 Abstract Full text
F. Bouchut. Hypoelliptic regularity in kinetic equations. J. Math. Pures Appl., 81(11):1135--1159, 2002. DOI: 10.1016/S0021-7824(02)01264-3 Abstract Full text
F. Berthelin and F. Bouchut. Weak solutions for a hyperbolic system with unilateral constraint and mass loss, Ann. IHP Analyse non linéaire, 20(6):975--997, 2003. DOI: 10.1016/S0294-1449(03)00012-X Abstract Full text
F. Berthelin and F. Bouchut. Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation. J. Diff. Eq., 185(1):251--270, 2002. DOI: 10.1006/jdeq.2001.4161 Abstract Full text
F. Berthelin and F. Bouchut. Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics. Asymptotic analysis, 31(2):153--176, 2002. Abstract Full text
F. Berthelin and F. Bouchut. Solution with finite energy to a BGK system relaxing to isentropic gas dynamics. Ann. Fac. Sci. Toulouse, 9(4):605--630, 2000. DOI: 10.5802/afst.974 Abstract Full text
F. Bouchut. Renormalized solutions to the Vlasov equation with coefficients of bounded variation, Archive Rational Mech. Anal., 157(1):75--90, 2001. DOI: 10.1007/PL00004237 Abstract Full text
F. Bouchut and L. Desvillettes. On two-dimensional hamiltonian transport equations with continuous coefficients. Diff. Int. Eq., 14(8):1015--1024, 2001. http://projecteuclid.org/euclid.die/1356123178 Abstract Full text
A. Bonami, F. Bouchut, E. Cépa, and D. Lépingle. A nonlinear stochastic differential equation involving hilbert transform. J. Funct. Anal., 165(2):390--406, 1999. DOI: 10.1006/jfan.1999.3420 Abstract Full text
F. Bouchut. Construction of BGK models with a family of kinetic entropies for a given system of conservation laws. J. Stat. Phys., 95(1/2):113--170, 1999. DOI: 10.1023/A:1004525427365 Abstract Full text
F. Bouchut and F. James. Differentiability with respect to initial data for a scalar conservation law. In Proceedings of the 7th Int. Conf. on Hyperbolic Problems, Zurich 98, International Series Numer. Math. 129, pages 113--118. Birkäuser, 1999. DOI: 10.1007/978-3-0348-8720-5_13 Abstract Full text
F. Bouchut and F. James. Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Comm. Partial Diff. Eq., 24(11-12):2173--2189, 1999. DOI: 10.1080/03605309908821498 Abstract Full text
F. Bouchut and F. James. Solutions en dualité pour les gaz sans pression. C.R. Acad. Sci. Paris, série I, 326(9):1073--1078, 1998. DOI: 10.1016/S0764-4442(98)80065-7
F. Bouchut and L. Desvillettes. Averaging lemmas without time fourier transform and application to discretized kinetic equations. Proc. Royal Soc. Edinburgh, 129A(1):19--36, 1999. DOI: 10.1017/S030821050002744X Abstract Full text
F. Bouchut and L. Desvillettes. A proof of the smoothing properties of the positive part of Boltzmann's kernel. Revista Matemática Iberoamericana, 14(1):47--61, 1998. DOI: 10.4171/RMI/233 Abstract Full text
F. Bouchut and F. James. One-dimensional transport equations with discontinuous coefficients. Nonlinear Analysis, Theory, Methods and Applications, 32(7):891--933, 1998. DOI: 10.1016/S0362-546X(97)00536-1 Abstract Full text
F. Bouchut and B. Perthame. Kruzkov's estimates for scalar conservation laws revisited. Trans. Amer. Math. Soc., 350(7):2847--2870, 1998. DOI: 10.1090/S0002-9947-98-02204-1 Abstract Full text
F. Bouchut. Un formalisme pour les estimations de type kruzkov pour les lois de conservation scalaires. In séminaire EDP, Ecole Polytechnique, 1996--1997. exposé n. 18.
F. Bouchut and F. James. Equations de transport unidimensionnelles à coefficients discontinus. C.R. Acad. Sci. Paris, série I, 320(9):1097--1102, 1995.
F. Bouchut and J. Dolbeault. On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with coulombic and newtonian potentials. Diff. Int. Eq., 8(3):487--514, 1995. http://projecteuclid.org/euclid.die/1369316501 Abstract Full text
F. Bouchut. Smoothing effect for the non-linear Vlasov-Poisson-Fokker-Planck system. J. Diff. Eq., 122(2):225--238, 1995. DOI: 10.1006/jdeq.1995.1146 Abstract Full text
F. Bouchut. On zero pressure gas dynamics, advances in kinetic theory and computing. Series on Advances in Mathematics for Applied Sciences, World Scientific, 22:171--190, 1994. Abstract Full text
F. Bouchut and B. Perthame. A BGK model for small Prandtl number in the Navier-Stokes approximation. J. Stat. Phys., 71(1-2):191--207, 1993. DOI: 10.1007/BF01048094 Abstract Full text
F. Bouchut. Existence and uniqueness of a global smooth solution for the Vlasov-Poisson-Fokker-Planck system in three dimensions. J. Funct. Anal., 111(1):239--258, 1993. DOI: 10.1006/jfan.1993.1011 Abstract Full text
F. Bouchut. Existence de solutions régulières globales pour le système de Vlasov-Poisson-Fokker-Planck en dimension trois. C.R. Acad. Sci. Paris, série I, 313(5):243--248, 1991.
F. Bouchut. Global weak solution of the Vlasov-Poisson system for small electrons mass. Comm. Partial Diff. Eq., 16(8 et 9):1337--1365, 1991. DOI: 10.1080/03605309108820802 Abstract Full text