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

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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. © 2007 Elsevier Ltd. All rights reserved.

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Shibata, Y., & Tanaka, K. (2007). Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid. Computers and Mathematics with Applications, 53(3–4), 605–623. https://doi.org/10.1016/j.camwa.2006.02.030

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