Boussinesq方程组弱解的L^2衰减  

L^2 Decay for Weak Solutions of the Boussinesq Equations

作　　者：刘颖[1] 李军[1] 杜健[1] 詹环[1] 

机构地区：[1]装甲兵工程学院基础部数学室,北京100072

出　　处：《数学的实践与认识》2012年第22期198-205,共8页Mathematics in Practice and Theory

摘　　要：利用付立叶分解方法(Fourier splitting method)研究Boussinesq方程组Cauchy问题弱解的L^2衰减.We first get the uniform L2 decay of the smooth solutions. Then we can actually obtain the L2 decay for weak solutions by passing limit of the approximate sequences of solutions. The main tool used is the Fourier splitting method. We first consider the large- time behavior of the temperature of the Boussinesq equations, based on which we can obtain, under some assumption of the decay rate of given f, the large time behavior of the velocity vector field.

关 键 词：BOUSSINESQ方程组 L^2衰减 FOURIER变换 

分 类 号：O175[理学—数学]