Über nichtlineare Wellengleichungen mit zeitabhängigen elliptischen Hauptteil.
Un analogue du théorème d'Efimov en courbure variable
Un formalisme pour les estimations de type Kružkov pour les lois de conservation scalaires
On montre comment le formalisme introduit récemment par l’auteur et Benoît Perthame permet de justifier la plupart des estimations d’erreurs pour des solutions approchées d’une loi de conservation scalaire.
Un problema de transmisión no lineal de tipo hiperbólico-parabólico.
Un résultat sur les fonctions de classe et application au problème de Cauchy
Nous montrons principalement que, si est une fonction différentiable sur un intervalle , si sa dérivée est höldérienne d’ordre avec et si (resp. quand (resp. alors , qui est absolument continue, admet (presque partout) une dérivée bornée presque partout.
Unbounded Solutions to Some Systems of Conservation Laws - Split Delta Shock Waves
Une famille de schémas numériques T.V.D. pour les lois de conservation hyperboliques
Une note sur les méthodes de caractéristiques et de Lesaint-Raviart pour les problèmes hyperboliques stationnaires
Une remarque sur la stabilisation de certains systèmes du deuxième ordre en temps
Unicité et non unicité du problème de Cauchy pour des opérateurs hyperboliques à caractéristiques doubles
Uniform continuity of the solution map for nonlinear wave equation in Reissner-Nordström metric.
Uniform controllability for Kirchhoff and Mindlin-Timoshenko elastic systems.
Uniform controllability for the beam equation with vanishing structural damping
This paper is devoted to studying the effects of a vanishing structural damping on the controllability properties of the one dimensional linear beam equation. The vanishing term depends on a small parameter . We study the boundary controllability properties of this perturbed equation and the behavior of its boundary controls as goes to zero. It is shown that for any time sufficiently large but independent of and for each initial data in a suitable space there exists a uniformly bounded...
Uniform decay for a hyperbolic system with differential inclusion and nonlinear memory source term on the boundary
We prove the existence and uniform decay rates of global solutions for a hyperbolic system with a discontinuous and nonlinear multi-valued term and a nonlinear memory source term on the boundary.
Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation
Uniform stabilization for elastic waves system with highly nonlinear localized dissipation.
Uniform stabilization for the Timoshenko beam by a locally distributed damping.
Uniform stabilization of a coupled structural acoustic system by boundary dissipation.
Uniform stabilization of a viscous numerical approximation for a locally damped wave equation
This work is devoted to the analysis of a viscous finite-difference space semi-discretization of a locally damped wave equation in a regular 2-D domain. The damping term is supported in a suitable subset of the domain, so that the energy of solutions of the damped continuous wave equation decays exponentially to zero as time goes to infinity. Using discrete multiplier techniques, we prove that adding a suitable vanishing numerical viscosity term leads to a uniform (with respect to the mesh size)...
Uniform stabilization of solutions to a quasilinear wave equation with damping and source terms
In this note we prove the exponential decay of solutions of a quasilinear wave equation with linear damping and source terms.