On the relaxation approximation for 2 × 2 hyperbolic balance laws

  • The relaxation approximation for systems of conservation laws has been studied intensively for example by [17, 5, 19, 24]. In this paper the corresponding relaxation approximation for 2x2 systems of balance laws is studied. Our driving example is gas flow in pipelines described by the isothermal Euler equations. We are interested in the limiting behavior as the relaxation parameter tends to zero. We give conditions where the relaxation converges to the states of the original system and counterexamples for cases where the steady states depend on the space variable.

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Metadaten
Author:Martin Gugat, Michael Herty, Hui Yu
Publisher:Springer
Place of publication:Springer Proceedings in Mathematics and Statistics
Editor:Michael Westdickenberg
Document Type:Conference Proceeding
Language:English
Date of Publication (online):2017/09/19
Date of first Publication:2017/10/02
Release Date:2017/10/02
Volume:x
Issue:x
Page Number:12
First Page:x
Last Page:x
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
Subprojects:C03