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

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Travelling Wave Solutions of a Convective Diffusive System with First and Second Order Terms in Non compressible flows. This system exhibits non conservative products for both the first order and second order operators. A particular attention is payed to the laminar and turbulent viscosities which ratio dictates the shape of the second order operator. In that aim, we introduce an equivalent syste

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High Order Central Schemes for Hyperbolic Systems of Conservation Laws,re an extension of the second order Nessyahu-Tadmor scheme, and are based on a ENO reconstruction from cell averages, and a numerical computation of the flux on cell boundaries, efficiently obtained by Runge-Kutta schemes with Natural Continuous Extension..Here we focus on the linear stability analy

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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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farewell

Old and New Hyperbolic Approaches in General Relativity,hieved by fixing the four coordinate degrees of freedom, and the ‘new’ ones, where it is achieved by using instead the momentum constraints. The general way of combining the Einstein evolution equations with the constraints in the 3+1 framework is considered with a view on Numerical Relativity appli

expansive

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

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