Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas

Akitaka Matsumura, Kenji Nishihara

Research output: Contribution to journalArticle

178 Citations (Scopus)

Abstract

This paper is concerned with the asymptotic behavior toward the rarefaction waves of the solution of a one-dimensional model system associated with compressible viscous gas. If the initial data are suitably close to a constant state and their asymptotic values at x=±∞ are chosen so that the Riemann problem for the corresponding hyperbolic system admits the weak rarefaction waves, then the solution is proved to tend toward the rarefaction waves as t→+∞. The proof is given by an elementary L2 energy method.

Original languageEnglish
Pages (from-to)1-13
Number of pages13
JournalJapan Journal of Applied Mathematics
Volume3
Issue number1
DOIs
Publication statusPublished - 1986 Jun
Externally publishedYes

Fingerprint

Rarefaction Wave
One-dimensional Model
Gases
Energy Method
Hyperbolic Systems
Cauchy Problem
Asymptotic Behavior
Tend
Gas

Keywords

  • asymptotic behavior
  • compressible viscous gas
  • rarefaction wave

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

Cite this

Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas. / Matsumura, Akitaka; Nishihara, Kenji.

In: Japan Journal of Applied Mathematics, Vol. 3, No. 1, 06.1986, p. 1-13.

Research output: Contribution to journalArticle

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