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


Ontology type: schema:ScholarlyArticle     


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

References to SciGraph publications

  • 1981-09. Shock structure for heat conducting and viscid fluids in MECCANICA
  • 1973. On Higher Order Hydrodynamic Theories of Shock Structure in THE BOLTZMANN EQUATION
  • 1922-12. Stoßwelle und Detonation in ZEITSCHRIFT FÜR PHYSIK
  • 1989. Covariant fluid mechanics and thermodynamics: An introduction in RELATIVISTIC FLUID DYNAMICS
  • 1951-02. Zur Struktur des Verdichtungsstoßes in ZEITSCHRIFT FÜR PHYSIK
  • Identifiers

    URI

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

    DOI

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

    DIMENSIONS

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