139 citations · 259 across the 9 of their papers we have counts for
10 papers
Benchmarking Exercises for Granular Flows
Antoine Lucas, Anne Mangeney, François Bouchut +2
For the 2007 International Forum on Landslide Disaster Management framework, our team performed several numerical simulations on both theoretical and natural cases of granular flow…
Multilayer models for shallow two-phase debris flows with dilatancy effects
José Garres-Díaz, François Bouchut, Enrique D. Fernández-Nieto +2
We present here a multilayer model for shallow grain-fluid mixtures with dilatancy effects. It can be seen as a generalization of the depth-averaged model presented in Bouchut et a…
Lagrangian solutions to the 2D euler system with L^1 vorticity and infinite energy
Anna Bohun, Francois Bouchut, Gianluca Crippa
We consider solutions to the two-dimensional incompressible Euler system with only integrable vorticity, thus with possibly locally infinite energy. With such regularity, we use th…
Lagrangian solutions to the Vlasov-Poisson system with L^1 density
Anna Bohun, Gianluca Crippa, Francois Bouchut
The recently developed theory of Lagrangian flows for transport equations with low regularity coefficients enables to consider non BV vector fields. We apply this theory to prove e…
Lagrangian flows for vector fields with anisotropic regularity
Anna Bohun, Francois Bouchut, Gianluca Crippa
We prove quantitative estimates for flows of vector fields subject to anisotropic regularity conditions: some derivatives of some components are (singular integrals of) measures, w…
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system
Emmanuel Audusse, François Bouchut, Marie-Odile Bristeau +1
A lot of well-balanced schemes have been proposed for discretizing the classical Saint-Venant system for shallow water flows with non-flat bottom. Among them, the hydrostatic recon…
Lagrangian flows for vector fields with gradient given by a singular integral
François Bouchut, Gianluca Crippa
We prove quantitative estimates on flows of ordinary differential equations with vector field with gradient given by a singular integral of an function. Such estimates allow…
A new model for shallow viscoelastic fluids
François Bouchut, Sébastien Boyaval
We propose a new reduced model for gravity-driven free-surface flows of shallow elastic fluids. It is obtained by an asymptotic expansion of the upper-convected Maxwell model for e…
Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient
Francois James, Simona Mancini, Francois Bouchut
The Cauchy problem for a multidimensional linear transport equation with discontinuous coefficient is investigated. Provided the coefficient satisfies a one-sided Lipschitz conditi…
On classical solutions to the 3D relativistic Vlasov-Maxwell system: Glassey-Strauss' theorem revisited
Francois Bouchut, Francois Golse, Christophe Pallard
R. Glassey and W. Strauss have proved in [Arch. Rational Mech. Anal. 92 (1986), 59--90] that classical solutions to the relativistic Vlasov-Maxwell system in three space dimensions…