139 citations · 259 across the 9 of their papers we have counts for
3 papers · 1 filter
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…