Hyperbolic Equations and Waves

1. Front Matter

   Pages I-VIII

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2. Wave Mathematics

   • M. J. Lighthill

   Pages 1-7

3. Non Strictly Hyperbolic Operators

   • J. Leray

   Pages 8-8

4. Cauchy’s Problem

   • J. Leray

   Pages 9-10

5. On Feynman’s Integrals

   • J. Leray

   Pages 11-12

6. The Theory of Lacunas

   • L. Gårding

   Pages 13-21

7. General Relativistic Hydrodynamics

   • A. H. Taub

   Pages 22-23

8. Stability of Fluid Motions and Variational Principles

   • A. H. Taub

   Pages 24-37

9. Pulsars

   • F. J. Dyson

   Pages 38-38

10. A Difference Method for Plane Problems in Dynamic Viscoplasticity

    • J. Bejda

    Pages 39-50

11. A Survey of Hyperbolic Systems of Conservation Laws in Two Dependent Variables

    • J. A. Smoller

    Pages 51-60

12. Maximum Norm Stability for Parabolic Difference Schemes in Half-Space

    • S. J. Osher

    Pages 61-75

13. Stability and Well-Posedness for Difference Schemes and Partial Differential Equations for Time Dependent Problems in Half-Space

    • S. J. Osher

    Pages 76-84

14. On the General Theory of Mixed Problems

    • R. Hersh

    Pages 85-95

15. Group Velocity

    • M. J. Lighthill

    Pages 96-123

16. On Waves Generated in Dispersive Systems to Travelling Forcing Effects, with Applications to the Dynamics of Rotating Fluids

    • M. J. Lighthill

    Pages 124-152

17. Variational Methods and Applications to Water Waves

    • G. B. Whitham

    Pages 153-172

18. Contributions to the Theory of Waves in Non-linear Dispersive Systems

    • M. J. Lighthill

    Pages 173-210

19. Wavetrains in Inhomogeneous Moving Media

    • F. P. Bretherton, C. I. R. Garret

    Pages 211-236

20. Some Special Cases Treated by the Whitham Theory

    • M. J. Lighthill

    Pages 237-262

The success of the 1967 Battelle Rencontres was so much appre­ ciated by the participants and organizers of this experimental set-up that it was soon decided to go on with the experiment. Mathematicians and physicists had found a very suitable frame to overcome their natural shyness, to get occasionally interested into each others' work, to talk 1968 Rencontres have about it, and eventually to know each other. The been organized with the same idea in mind, and even somewhat enlarged in the following sense: the topic chosen - hyperbolic equations and waves - has proved a cornerstone of physics for more than a century and extends over most fields of contemporary physics. It follows immediately that the wide range of physicists concerned could not be represented by more than a couple of specialists in any single field. Thus, aside from bridging the gap between mathematicians and physicists, the 1968 Recontres provided a rather unique occasion to plug many intra­ disciplinary gaps among physicists. This made the Rencontres quite unpredictable as to how people would - and could - interact, and created a very stimulating environ­ ment for an unprecedented intellectual venture. From the outside, it may very well look like a hodge-podge of quite unrelated ideas. But it was much less so at the level of day-to-day discussions and informal gatherings where all slowly acquired a comprehensive synthetic view of the subject.

• Battelle Seattle 1968 Rencontres
• Cauchysches Anfangswertproblem
• Partielle Differentialgleichung
• Welle
• equation

• CEN Saclay, Gif-sur-Yvette, France

  M. Froissart

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