Régularité lipschitzienne et solutions de l'équation des ondes sur une variété riemannienne compacte
Régularité microlocale pour des problèmes de Dirichlet non linéaires non caractéristiques d'ordre deux à bord peu régulier
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...
Regularity of the solution of the first initial-boundary value problem for hyperbolic equations in domains with cuspidal points on boundary.
Regularity of the solutions of second order evolution equations and their attractors
Regularity results for semilinear and geometric wave equations
Regularization and finite element approximation of the wave equation with Dirichlet boundary data
Regularizing effects for multidimensional scalar conservation laws
Regularizing estimates for Schrödinger and wave equations
Relation de Poisson pour l'équation des ondes dans un ouvert non borné. Application au scattering
Relation de Poisson pour l'équation des ondes dans un ouvert non borné
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model
This paper is concerned with the numerical approximation of the solutions of a two-fluid two-pressure model used in the modelling of two-phase flows. We present a relaxation strategy for easily dealing with both the nonlinearities associated with the pressure laws and the nonconservative terms that are inherently present in the set of convective equations and that couple the two phases. In particular, the proposed approximate Riemann solver is given by explicit formulas, preserves the natural...
Relaxation approximations and bounded variation estimates for some partial differential equations.
Relaxations semi-linéaire et cinétique des systèmes de lois de conservation
Remark on periodic solutions of a linear wave equation in one dimension
Remark on the null-condition for the nonlinear wave equation
Dimostriamo l'esistenza della soluzione globale per un sistema di equazioni delle onde con nonlinearità quadratica dipendente dalle variabili spazio-tempo. Come in [3] la tecnica è basata sulla trasformazione di Penrose.
Remark to dynamic contact problems for bodies with a singular memory
The existence of a solution to the dynamic contact of a body having a singular memory with a rigid undeformable support is proved under some weaker assumption than that in [3].
Remark to the comparison of solution properties of Love's equation with those of wave equation
In the paper some solution properties of the Love's equation are compared with those of the classical wave equation for a certain class of boundary conditions. The method of small parameter is used.
Remarks on bounded solutions of a semilinear dissipative hyperbolic equation