Régularité analytique des chocs uniformément stables à données analytiques
Regularity in kinetic formulations via averaging lemmas
We present a new class of averaging lemmas directly motivated by the question of regularity for different nonlinear equations or variational problems which admit a kinetic formulation. In particular they improve the known regularity for systems like in isentropic gas dynamics or in some variational problems arising in thin micromagnetic films. They also allow to obtain directly the best known regularizing effect in multidimensional scalar conservation laws. The new ingredient here is to use velocity...
Regularity in kinetic formulations via averaging lemmas
We present a new class of averaging lemmas directly motivated by the question of regularity for different nonlinear equations or variational problems which admit a kinetic formulation. In particular they improve the known regularity for systems like γ = 3 in isentropic gas dynamics or in some variational problems arising in thin micromagnetic films. They also allow to obtain directly the best known regularizing effect in multidimensional scalar conservation laws. The new ingredient here is to...
Regularizing effects for multidimensional scalar conservation laws
Relaxation approximations and bounded variation estimates for some partial differential equations.
Relaxations semi-linéaire et cinétique des systèmes de lois de conservation
Remarks on vacuum state and uniqueness of concentration process.
Remarques sur la formulation cinétique des lois de conservation scalaires
Renormalized entropy solutions of scalar conservation laws