Nonlinear Hyperbolic Problems

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

  • Editors
  • Claude Carasso
  • Pierre Charrier
  • Bernard Hanouzet
  • Jean-Luc Joly
Conference proceedings

Part of the Lecture Notes in Mathematics book series (LNM, volume 1402)

Table of contents

  1. Front Matter
    Pages I-V
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  2. Approximation to nonlinear convection diffusion equations
    Said Benachour, Alain Yves Le Roux, Marie Noëlle Le Roux
    Pages 1-11
  3. Difference schemes for nonlinear hyperbolic systems — A general framework
    A. Lerat
    Pages 12-29
  4. Numerical calculations of reacting flows
    Matania Ben-Artzi
    Pages 30-36
  5. Probleme de Riemann en hydrodynamique et applications
    A. Bourgeade, H. Jourdren, J. Ovadia
    Pages 37-55
  6. Review of flow simulations using lattice gases
    D. d'Humières, P. Lallemand, Y. H. Qian
    Pages 56-68
  7. On the equations of multi-component perfect of real gas inviscid flow
    B. Larrouturou, L. Fezoui
    Pages 69-98
  8. Global existence of large amplitude solutions for Dirac-Klein-Gordon systems in Minkowski space
    Alain Bachelot
    Pages 99-113
  9. Analyse microlocale et singularités non linéaires
    Jean-Michel Bony
    Pages 114-127
  10. The nonlinear stability of the Minkowski metric in general relativity
    D. Christodoulou, S. Klainerman
    Pages 128-145
  11. High order regularity for solutions of the inviscid burgers equation
    Ronald A. DeVore, Bradley J. Lucier
    Pages 147-154
  12. Solutions of quasi-linear wave equations with small initial data
    Fritz John
    Pages 155-184
  13. A viscosity approximation to a system of conservation laws with no classical Riemann solution
    Barbara Lee Keyfitz, Herbert C. Kranzer
    Pages 185-197
  14. Global classical solutions to the cauchy problem for nonlinear wave equations
    Li Ta-tsien, Chen Yun-mei
    Pages 198-202
  15. Ondes de choc, ondes de raréfaction et ondes soniques multidimensionnelles
    G. Métivier
    Pages 203-215
  16. The interaction of two progressing waves
    Guy Métivier, Jeffrey Rauch
    Pages 216-226
  17. Diffraction effects in weakly nonlinear detonation waves
    Rodolfo R. Rosales
    Pages 227-239
  18. Back Matter
    Pages 240-249
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About these proceedings

Introduction

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.

Keywords

Calculation Minkowski space convection equation fluid mechanics wave wave equation

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0083863
  • Copyright Information Springer-Verlag Berlin Heidelberg 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-51746-7
  • Online ISBN 978-3-540-46800-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book