Nonlinear Hyperbolic Problems: Proceedings of an Advanced Research Workshop held in Bordeaux, France, June 13–17, 1988

Said Benachour, Alain Yves Le Roux, Marie Noëlle Le Roux (auth.), Claude Carasso, Pierre Charrier, Bernard Hanouzet, Jean-Luc Joly (eds.)9780387517469, 0-387-51746-4

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.

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Table of contents :
Approximation to nonlinear convection diffusion equations….Pages 1-11
Difference schemes for nonlinear hyperbolic systems — A general framework….Pages 12-29
Numerical calculations of reacting flows….Pages 30-36
Probleme de Riemann en hydrodynamique et applications….Pages 37-55
Review of flow simulations using lattice gases….Pages 56-68
On the equations of multi-component perfect of real gas inviscid flow….Pages 69-98
Global existence of large amplitude solutions for Dirac-Klein-Gordon systems in Minkowski space….Pages 99-113
Analyse microlocale et singularités non linéaires….Pages 114-127
The nonlinear stability of the Minkowski metric in general relativity….Pages 128-145
High order regularity for solutions of the inviscid burgers equation….Pages 147-154
Solutions of quasi-linear wave equations with small initial data….Pages 155-184
A viscosity approximation to a system of conservation laws with no classical Riemann solution….Pages 185-197
Global classical solutions to the cauchy problem for nonlinear wave equations….Pages 198-202
Ondes de choc, ondes de raréfaction et ondes soniques multidimensionnelles….Pages 203-215
The interaction of two progressing waves….Pages 216-226
Diffraction effects in weakly nonlinear detonation waves….Pages 227-239