Upper Bounds of the Rates of Decay for Solutions of the Boussinesq Equations

作     者：Ying Liu 

作者机构：Fundamental Department of the Academy of Armored Force Engineering Bejing 100072 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2011年第27卷第1期

页      面：105-114页

核心收录：

学科分类：07[理学] 0707[理学-海洋科学] 070202[理学-粒子物理与原子核物理] 0702[理学-物理学] 

主　　题：the Boussinesq equations L2 decay Fourier splitting method 

摘      要：In this paper, upper bounds of the L2-decay rate for the Boussinesq equations are considered. Using the L2 decay rate of solutions for the heat equation, and assuming that the solutions of the Boussinesq equations are smooth, we obtain the upper bounds of L2 decay rate for the smooth solutions and difference between the solutions of the Boussinesq equations and those of the heat system with the same initial data. The decay results may then be obtained by passing to the limit of approximating sequences of solutions. The main tool is the Fourier splitting method.