Titlebook: Hyperbolic Problems: Theory, Numerics, Applications; Seventh Internationa Michael Fey,Rolf Jeltsch Conference proceedings 1999 Springer Bas

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0373-3149 Overview: 978-3-0348-9742-6978-3-0348-8720-5Series ISSN 0373-3149 Series E-ISSN 2296-6072

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Hyperbolic Initial Boundary Value Problems on the Stability of Strong Discontinuities in Continuum ented. Advantages of the described approach are discussed on the example of recent results obtained by the authors for strong discontinuities in Magnetohydrodynamics, Magnetohydrodynamics of Chew, Goldberger and Low with the pressure anisotropy and models of Radiation Hydrodynamics.

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Evolution Behavior of Transverse Shocks in a Nonlinear Elastic Layer,h of the layer the problem is reduced to a system of partial differential equations in one space dimension and time. The theory of singular surfaces is applied to establish relations between the discontinuities of the strain gradient and its derivatives. Explicit results are developed for a special incompressible elastic material.

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Compactness and Asymptotic Behavior of Entropy Solutions without Locally Bounded Variation for Hypeon for nonlinear hyperbolic systems of conservation laws. Several classes of nonlinear hyperbolic systems with resonant or linear degeneracy are analyzed. The relation of the asymptotic problems to other topics such as scale-invariance, compactness of solutions, and singular limits is described.

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