Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:453

Article

Farwig, Reinhard¹  Kozono, Hideo²  Wegmann, David¹ 

[1] Tech Univ Darmstadt, Fachbereich Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany

[2] Waseda Univ, Dept Math, Tokyo 1698555, Japan

关键词: Instationary Navier-Stokes equations;    Weak solutions;    Nonzero boundary values;    Time-dependent data;    Exterior domain;    Asymptotic behavior;   

DOI  :  10.1016/j.jmaa.2017.03.086

来源: Elsevier

【 摘 要 】

Recently, Leray's problem of the L-2-decay of a special weak solution to the Navier Stokes equations with nonhomogeneous boundary values was studied by the authors, exploiting properties of the approximate solutions converging to this solution. In this paper this result is generalized to the case of an arbitrary weak solution satisfying the strong energy inequality. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free