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

Yoshihiro Shibata*, Koumei Tanaka

*この研究の対応する著者

研究成果: Article査読

24 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)605-623
ページ数19
ジャーナルComputers and Mathematics with Applications
53
3-4
DOI
出版ステータスPublished - 2007 2

ASJC Scopus subject areas

  • モデリングとシミュレーション
  • 計算理論と計算数学
  • 計算数学

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