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

✍ Scribed by Yoshihiro Shibata; Koumei Tanaka

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
372 KB
Volume
53
Category
Article
ISSN
0898-1221

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✦ Synopsis

We consider a compressible viscous fluid affected by external forces of general form which are small and smooth enough in suitable norms in R 3 . 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 H 3 -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 H 3 and also belong to L 6/5 .

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