Nonlinear hyperbolic problems : proceedings of an advanced research workshop held in Bordeaux, France, June 13-17, 1988

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Nonlinear hyperbolic problems : proceedings of an advanced research workshop held in Bordeaux, France, June 13-17, 1988

C. Carasso ... [et al.] (eds.)

（Lecture notes in mathematics, 1402）

Springer-Verlag, c1989

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Editors: C. Carasso, P. Charrier, B. Hanouzet, J.-L. Joly

"Colloque sur les problèmes hyperboliques non linéaires"

Includes bibliographical references

Description and Table of Contents

Description

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.

Table of Contents

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 singularites non lineaires.- 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 rarefaction et ondes soniques multidimensionnelles.- The interaction of two progressing waves.- Diffraction effects in weakly nonlinear detonation waves.

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