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TitleHyperbolic Equations and Waves [electronic resource] : Battelle Seattle 1968 Recontres / edited by M. Froissart
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1970
Connect tohttp://dx.doi.org/10.1007/978-3-642-87025-5
Descript VIII, 394 p. 6 illus. online resource

SUMMARY

The success of the 1967 Battelle Rencontres was so much appreยญ 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 intraยญ disciplinary gaps among physicists. This made the Rencontres quite unpredictable as to how people would - and could - interact, and created a very stimulating environยญ 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


CONTENT

Wave Mathematics -- Non Strictly Hyperbolic Operators -- Cauchyโ{128}{153}s Problem -- On Feynmanโ{128}{153}s Integrals -- The Theory of Lacunas -- General Relativistic Hydrodynamics -- Stability of Fluid Motions and Variational Principles -- Pulsars -- A Difference Method for Plane Problems in Dynamic Viscoplasticity -- A Survey of Hyperbolic Systems of Conservation Laws in Two Dependent Variables -- Maximum Norm Stability for Parabolic Difference Schemes in Half-Space -- Stability and Well-Posedness for Difference Schemes and Partial Differential Equations for Time Dependent Problems in Half-Space -- On the General Theory of Mixed Problems -- Group Velocity -- On Waves Generated in Dispersive Systems to Travelling Forcing Effects, with Applications to the Dynamics of Rotating Fluids -- Variational Methods and Applications to Water Waves -- Contributions to the Theory of Waves in Nonlinear Dispersive Systems -- Wavetrains in Inhomogeneous Moving Media -- Some Special Cases Treated by the Whitham Theory -- Phase Jumps -- ร{137}quations Hyperboliques Non-Stricts: Contre- Exemples, du Type De Giorgi, aux Thรฉorรจmes dโ{128}{153}Existence et dโ{128}{153}Unicitรฉ -- Systรจmes Linรฉaires, Hyperboliques Non-Stricts -- Norme Formelle dโ{128}{153}une Fonction Composรฉe -- ร{137}quations et Systรจmes Non Linรฉaires, Hyperboliques Non-Stricts -- Relativistic Hydrodynamics


Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis



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