Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid
| Autor: | Koumei Tanaka, Yoshihiro Shibata |
|---|---|
| Jazyk: | angličtina |
| Předmět: |
Stationary solution
Navier–Stokes equation Mathematical analysis Viscous liquid Fluid parcel Stability (probability) Compressible flow Physics::Fluid Dynamics Computational Mathematics Flow (mathematics) Rate of convergence Computational Theory and Mathematics Modeling and Simulation Modelling and Simulation Convergence (routing) Compressibility Compressible fluid Stability Mathematics |
| Zdroj: | Computers & Mathematics with Applications. (3-4):605-623 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2006.02.030 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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