On the shock structure problem for hyperbolic system of balance laws and convex entropy View Full Text


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Article Info

DATE

1998-10

AUTHORS

Guy Boillat, Tommaso Ruggeri

ABSTRACT

In this paper we give a brief survey of the problem of shock structure solutions in fluid dynamics. For a generic system of balance laws compatible with an entropy principle and a convex entropy we prove that \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $C^1$\end{document} solutions cannot exist when the shock velocity exceeds the maximum characteristic velocity in the equilibrium state in front of the shock. This is in agreement with a conjecture of Extended Thermodynamics. More... »

PAGES

285-292

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s001610050094

DOI

http://dx.doi.org/10.1007/s001610050094

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1036721341


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