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

Akitaka Matsumura, Kenji Nishihara

研究成果: Article

194 引用 (Scopus)

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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.

元の言語English
ページ(範囲)1-13
ページ数13
ジャーナルJapan Journal of Applied Mathematics
3
発行部数1
DOI
出版物ステータスPublished - 1986 6
外部発表Yes

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

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