Nonlinear Hyperbolic Problems

The papers included in this proceedings volume are mostly original research papers, dealing with life-span of waves, nonlinear interaction of waves, and various applications to fluid mechanics.

Approximation to nonlinear convection diffusion equations.- Difference schemes for nonlinear hyperbolic systems - A general framework.- Numerical calculations of reacting flows.- Probleme de Riemann en hydrodynamique et applications.- Review of flow simulations using lattice gases.- On the equations of multi-component perfect of real gas inviscid flow.- Global existence of large amplitude solutions for Dirac-Klein-Gordon systems in Minkowski space.- Analyse microlocale et singularités non linéaires.- The nonlinear stability of the Minkowski metric in general relativity.- High order regularity for solutions of the inviscid burgers equation.- Solutions of quasi-linear wave equations with small initial data.- A viscosity approximation to a system of conservation laws with no classical Riemann solution.- Global classical solutions to the cauchy problem for nonlinear wave equations.- Ondes de choc, ondes de raréfaction et ondes soniques multidimensionnelles.- The interaction of two progressing waves.- Diffraction effects in weakly nonlinear detonation waves.