Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid

Yoshihiro Shibata, Koumei Tanaka

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

We consider a compressible viscous fluid affected by external forces of general form which are small and smooth enough in suitable norms in R3. In Shibata and Tanaka [Y. Shibata, K. Tanaka, On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance, J. Math. Soc. Japan 55 (2003) 797-826], we proved the unique existence and some regularity of the steady flow and its globally in-time stability with respect to a small initial disturbance in the H3-framework. In this paper, we investigate the rate of the convergence of the non-stationary flow to the corresponding steady flow when the initial data are small enough in the H3 and also belong to L6 / 5.

Original languageEnglish
Pages (from-to)605-623
Number of pages19
JournalComputers and Mathematics with Applications
Volume53
Issue number3-4
DOIs
Publication statusPublished - 2007 Feb 1

Keywords

  • Compressible fluid
  • Navier-Stokes equation
  • Stability
  • Stationary solution

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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