Convergence of a difference method for a system of first order partial differential equations of hyperbolic type
Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh.
Convergence of discretization procedures for problems whose entropy solutions are uniquely characterized by additional relations
Weak solutions of given problems are sometimes not necessarily unique. Relevant solutions are then picked out of the set of weak solutions by so-called entropy conditions. Connections between the original and the numerical entropy condition were often discussed in the particular case of scalar conservation laws, and also a general theory was presented in the literature for general scalar problems. The entropy conditions were realized by certain inequalities not generalizable to systems of equations...
Convergence of numerical algorithms for semilinear hyperbolic system
Convergence of solutions of generalized Korteweg-de Vries-Burgers equations to those of first order equations
Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system
We propose and analyse two convergent fully discrete schemes to solve the incompressible Navier-Stokes-Nernst-Planck-Poisson system. The first scheme converges to weak solutions satisfying an energy and an entropy dissipation law. The second scheme uses Chorin's projection method to obtain an efficient approximation that converges to strong solutions at optimal rates.
Couches limites semilinéaires
On s’intéresse à des problèmes mixtes pour des systèmes symétriques hyperboliques multidimensionnels semilinéaires perturbés par une petite viscosité. La description à la limite non visqueuse recquiert des développements du type BKW mettant en évidence une couche limite caractéristique (CLC) et une couche limite non caractéristique (CLNC). Ce thème traité dans [12] est ici enrichi de trois améliorations :l’étude inclut des développements ayant peu de termes (comme un seul terme),on étudie aussi...
Das Verhalten globaler Lösungen nichtlinearer Wellengleichungen für große Zeiten.
Decay estimates for spherically symmetric Yang-Mills fields in Minkowski space-time
Development of singularities in solutions of a hyperbolic system.
Die Existenz regulärer Lösungen für Cauchy- und Anfangs-Randwertprobleme nichtlinearer Wellengleichungen.
Dirichlet problem for a nonlinear conservation law.
In this paper we propose the study of a first-order non-linear hyperbolic equation in a bounded domain. We give a result of existence and uniqueness of the entropic measure-valued solution and of the entropic weak solution; for some general assumptions on the data.
Discontinuous travelling wave solutions for a class of dissipative hyperbolic models
Discontinuous shock structure solutions for a general system of balance laws is considered in order to investigate the problem of connecting two equilibrium states lying on different sides of a singular barrier representing a locus of irregular singular points for travelling waves. Within such a theoretical setting a governing system of monoatomic gas is considered.
Équations de champs non linéaires: Des solutions non nécessairement bornées
Équations hyperboliques non linéaires
Etude des Solutions d΄ une Classe d΄ Equatiens Integrodifferentielles Non lineaires aux Operateurs Hyperboliques Ayant Pour Limites des Fonctionnelles Integrales
Étude numérique des oscillations des systèmes semi-linéaires
Exact boundary observability for quasilinear hyperbolic systems
By means of a direct and constructive method based on the theory of semi-global C1 solution, the local exact boundary observability is established for one-dimensional first order quasilinear hyperbolic systems with general nonlinear boundary conditions. An implicit duality between the exact boundary controllability and the exact boundary observability is then shown in the quasilinear case.
Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations
Existence d'ondes de raréfaction pour des écoulements isentropiques