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

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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.

Author(s): Said Benachour, Alain Yves Le Roux, Marie Noëlle Le Roux (auth.), Claude Carasso, Pierre Charrier, Bernard Hanouzet, Jean-Luc Joly (eds.)
Series: Lecture Notes in Mathematics 1402
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1989

Language: English-French
Pages: 256
City: Berlin; New York
Tags: Mathematics, general

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