Boussinesq方程组解的正则类  

The Regularity Class of the Boussinesq System

作　　者：李明杰[1] 

机构地区：[1]首都师范大学数学科学学院,北京100037

出　　处：《应用数学》2007年第4期733-738,共6页Mathematica Applicata

基　　金：国家自然科学基金资助项目(10431060)

摘　　要：本文考虑Boussinesq方程组弱解的正则类,所得结果没有给温度场加任何条件,表明温度场对Boussinesq方程组解的正则性没有坏的影响,而起重要作用的是流体速度场.得到了Boussinesq方程类似于Navier-Stokes方程Serrin类的结果.In this paper, we are mainly concerned with the regularity of the weak solutions to the three-dimensional incompressible Boussinesq equations. What we obtain is similar to the ＂ Serrin class＂ of the weak solutions of the three-dimensional incompressible NavierStokes equations. It is worthy to point out that there are no assumptions on the temperature, which shows that the temperature has no bad influence and the velocity field play more important role on the regularity of the weak solution of Boussinesq equations.

关 键 词：BOUSSINESQ方程 弱解 正则性 

分 类 号：O175.29[理学—数学]