Decay of solutions of a system of nonlinear Klein-Gordon equations.
Decay of solutions of some degenerate hyperbolic equations of Kirchhoff type
In this paper we study the asymptotic behavior of solutions to the damped, nonlinear vibration equation with self-interaction which is known as degenerate if , and non-degenerate if . We would like to point out that, to the author’s knowledge, exponential decay for this type of equations has been studied just for the special cases of . Our aim is to extend the validity of previous results in [5] to both to the degenerate and non-degenerate cases of . We extend our results to equations with...
Decay of solutions of the elastic wave equation with a localized dissipation
Decay of solutions of the wave equation in the exterior of several convex bodies
We study the decay of solutions to the wave equation in the exterior of several strictly convex bodies. A sufficient condition for exponential decay of the local energy is expressed in terms of the period and the Poincare map of periodic rays in the exterior domain.
Decay rates for solutions of a system of wave equations with memory.
Decay rates for solutions of a Timoshenko system with a memory condition at the boundary.
Decay rates for solutions of damped systems and generalized Fourier transforms.
Decay rates for solutions of semilinear wave equations with a memory condition at the boundary.
Decay rates of Volterra equations on ℝN
This note is concerned with the linear Volterra equation of hyperbolic type on the whole space ℝN. New results concerning the decay of the associated energy as time goes to infinity were established.
Dégénérescence du comportement linéaire pour l’équation des ondes semi-linéaire focalisante critique
C. Kenig et F. Merle ont montré que les solutions de l’équation des ondes focalisante quintique sur l’espace euclidien de dimension 3 ont un comportement linéaire en-dessous d’un certain seuil d’énergie. Ce comportement linéaire est caractérisé par la finitude de la norme dans les variables espace-temps. Dans cet exposé, je donnerai une estimation précise de cette norme globale pour les solutions dont l’énergie est proche de l’énergie seuil.
Derivation of high-order spectral methods for time-dependent PDE using modified moments.
Description of the multi-dimensional finite volume solver EULER
This paper is aimed at the description of the multi-dimensional finite volume solver EULER, which has been developed for the numerical solution of the compressible Euler equations during several last years. The present overview of numerical schemes and the explanation of numerical techniques and tricks which have been used for EULER could be of certain interest not only for registered users but also for numerical mathematicians who have decided to implement a finite volume solver themselves. This...
Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results.
Determining the parameters of a stratified piecewise constant medium for the unknown shape of an impulse source.
Deuxième microlocalisation et problèmes aux limites
Deuxième microlocalisation simultanée et front d'onde de produits
Development of singularities in solutions of a hyperbolic system.
Die Existenz regulärer Lösungen für Cauchy- und Anfangs-Randwertprobleme nichtlinearer Wellengleichungen.
Die klassisch-reguläre Lösbarkeit des Rand-Anfangswertproblems nichtlinearer Wellengleichungen mit einer Randbedingung vom gemischten Typ.
Die Lösung der partiellen Differentialgleichung mit gewissen Nebenbedingungen