Algebraic L2 decay for weak solutions of a viscous Boussinesq system in exterior domains

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:252

Article

Han, Pigong

关键词: Boussinesq system;    Weak solution;    Decay rate;    Exterior domain;   

DOI  :  10.1016/j.jde.2012.03.002

来源: Elsevier

【 摘 要 】

The algebraic decay rates for the total kinetic energy of weak solutions of the n-dimensional viscous Boussinesq system in exterior domains are established by means of the spectral decomposition method of fractional powers of the Laplacian and Stokes operators. The results reveal that L-2-decay of the velocity field with zero divergence becomes slower than that of the temperature. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free