Global well-posedness and long time decay of the 3D Boussinesq equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:263

Article

Liu, Hui^1,3  Gao, Hongjun^1,2 

[1] Nanjing Normal Univ, Sch Math Sci, Jiangsu Prov Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Jiangsu Ctr Collaborat Innovat Geog Informat Reso, Nanjing 210023, Jiangsu, Peoples R China

[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

关键词: Boussinesq equations;    Global well-posedness;    Mild solutions;    Long time decay;   

DOI  :  10.1016/j.jde.2017.08.049

来源: Elsevier

【 摘 要 】

The incompressible 3D Boussinesq equations is considered in this paper. The global well-posedness of mild solutions is proved. By using Fourier analysis and standard techniques, the global solutions u, theta will decay to zero in sense of the norm of the space chi(-1) as time goes to infinity and the stability of global solutions is proved. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free