On Hyperbolic Relaxation Problems

Wen-An Yong () and Willi Jäger ()
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Wen-An Yong: IWR, University of Heidelberg
Willi Jäger: IWR, University of Heidelberg

A chapter in Analysis and Numerics for Conservation Laws, 2005, pp 495-520 from Springer

Abstract: Summary This report summarizes our works on hyperbolic systems of first-order partial differential equations with source terms. We discuss the introduction of our structural stability and entropy dissipation conditions for initial or initial-boundary value problems. For initial value problems, several systematic results are reviewed. These include the non-existence of (linearly stable) relaxation approximations to non-strongly hyperbolic systems of equations, the justification of the formal zero relaxation limit, the existence of relaxation shock profiles, and the existence of global smooth solutions for balance laws.

Keywords: Hyperbolic System; Imaginary Eigenvalue; Relaxation System; Symmetrizable Hyperbolic System; Global Smooth Solution (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27907-5_22

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DOI: 10.1007/3-540-27907-5_22

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