Nonlinear Hyperbolic Problems

Nonlinear Hyperbolic Problems Proceedings of an Advanced Research Workshop held in Bordeaux, France, June 13–17, 1988 / [electronic resource] : edited by Claude Carasso, Pierre Charrier, Bernard Hanouzet, Jean-Luc Joly. - VIII, 256 p. online resource. - Lecture Notes in Mathematics, 1402 0075-8434 ; . - Lecture Notes in Mathematics, 1402 .

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.

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.

9783540468004

10.1007/BFb0083863 doi


Mathematical physics.
Mathematical Applications in the Physical Sciences.
Mathematical Methods in Physics.

QC19.2-20.85

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