Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid
Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid
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DOI：
10.1016/j.camwa.2006.02.030
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发表时间：
2007-02
期刊：
影响因子：
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通讯作者：
Y. Shibata;Koumei Tanaka
中科院分区：
文献类型：
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作者：
Y. Shibata;Koumei Tanaka
我们考虑一种可压缩粘性流体，它受一般形式的外力的影响，这种外力在R3的合适范数下足够小和光滑。在柴田和田中[Y]。Shibata， K. Tanaka，可压缩粘性流体的定常流动及其对初始扰动的稳定性，J.数学。Soc。日本55(2003)797-826]，我们证明了h3 -框架中相对于一个小的初始扰动的定常流及其全局时稳定性的唯一存在性和一定的规律性。本文研究了h3中初始数据足够小且属于L6/5的非平稳流收敛到相应的定常流的速率。
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 H3and also belong to L6/5.