带粘性线性化BCL方程组的衰减估计  

Decay Estimates of Solutions to the Linearized BCL System with Viscosity

作　　者：胡军其[1] 

机构地区：[1]上海财经大学应用数学系,上海200433

出　　处：《数学年刊（A辑）》2008年第2期159-178,共20页Chinese Annals of Mathematics

摘　　要：考虑三维空间R^3中水波的自由表面的运动,这里研究的方程组首先是由J.L.Bona,T.Colin和D.Lannes提出的BCL方程组.给出了带粘性的BCL方程组的线性化方程组解的长时间衰减估计,它们将在讨论非线性的带粘性的BCL方程组的整体适定性中起着关键作用.The motion of the free surface of water waves in R3 is considered. The equations studied in the present article, are firstly derived by J. L. Bona, T. Colin, D. Lannes, called BCL system. The decay estimates of the solutions to the linearized equations of BCL system with viscosity in large t are given and will be useful in discussing the global well-posedness of the nonlinear BCL system with viscosity.

关 键 词：水波方程 拟微分算子 衰减估计 

分 类 号：O175.2[理学—数学]