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Nonlinear Hyperbolic Problems

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

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Claude Carasso
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  2. Pierre Charrier
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  3. Bernard Hanouzet
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  4. Jean-Luc Joly
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1402)

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Table of contents (16 papers)

  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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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Nonlinear Hyperbolic Problems

  • Book Subtitle: Proceedings of an Advanced Research Workshop held in Bordeaux, France, June 13-17, 1988

  • Editors: Claude Carasso, Pierre Charrier, Bernard Hanouzet, Jean-Luc Joly

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0083863

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-540-51746-7Published: 28 November 1989

  • eBook ISBN: 978-3-540-46800-4Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 256

  • Topics: Mathematical Applications in the Physical Sciences, Mathematical Methods in Physics

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