250 citations · 1.1k across the 130 of their papers we have counts for
12 papers · 2 filters
Diminishing functionals for nonclassical entropy solutions selected by kinetic relations
Marc Laforest, Philippe G. LeFloch
We consider nonclassical entropy solutions to scalar conservation laws with concave-convex flux functions, whose set of left- and right-hand admissible states across undercompressi…
A symmetrization of the relativistic Euler equations in several spatial variables
Philippe G. LeFloch, Seiji Ukai
We consider the Euler equations governing relativistic compressible fluids evolving in the Minkowski spacetime with several spatial variables. We propose a new symmetrization which…
Stability in the L1 norm via a linearization method for nonlinear hyperbolic systems
Philippe G. LeFloch
We discuss the existence and uniqueness of discontinuous solutions to adjoint problems associated with nonlinear hyperbolic systems of conservation laws. By generalizing the Haar m…
On the validity of Chapman-Enskog expansions for shock waves with small strength
Nabil Bedjaoui, Christian Klingenberg, Philippe G. LeFloch
We justify a Chapman-Enskog expansion for discontinuous solutions of hyperbolic conservation laws containing shock waves with small strength. Precisely, we establish pointwise unif…
Finite energy solutions to the isentropic Euler equations with geometric effects
Philippe G. LeFloch, Michael Westdickenberg
Considering the isentropic Euler equations of compressible fluid dynamics with geometric effects included, we establish the existence of entropy solutions for a large class of init…
Haar method, averaged matrix, wave cancellations, and L1 stability for hyperbolic systems
Philippe G. LeFloch
We develop a version of Haar and Holmgren methods which applies to discontinuous solutions of nonlinear hyperbolic systems and allows us to control the L1 distance between two entr…