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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2008 Volume 362, Pages 153–175 (Mi znsl2196)

This article is cited in 2 papers

Stability of steady-states solution to Navier–Stokes equations with general Navier slip boundary condition

Sh. Itoha, N. Tanakab, A. Tanic

a Department of Mathematics, Hirosaki University
b Department of Applied Mathematics, Fukuoka University
c Department of Mathematics, Faculty of Science and Technology, Keio University

Abstract: Steady solution and asymptotic behaviour of corresponding nonsteady solution are studied for the Navier–Stokes equations under general Navier slip boundary condition. It is proved the existence of a unique stationary solution and that this solution is asymptotically stable under some restrictions on the data. Bibl. – 16 titles.

UDC: 517

Received: 04.12.2008

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2009, 159:4, 472–485

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