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

[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.

[发布日期] 2017-12-15

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