文献类型：期刊文献

中文题名：Large Time Behavior of a Weak Solution for Non-Newtonian Flow

英文题名：Large Time Behavior of a Weak Solution for Non-Newtonian Flow

作者：吴珞[1];刘辉昭[2];王宗尧[1]

机构：[1]Department of Mathematics,East China University of Science and Technology;[2]Department of Mathematics,Hebei University of Technology

年份：2006

卷号：22

期号：3

起止页码：306

中文期刊名：Northeastern Mathematical Journal

外文期刊名：东北数学（英文版）

收录：CSCD:【CSCD2011_2012】；

基金：The NSF (10401006 and 10471041) of China

语种：中文

中文关键词：large time behavior;non-Newtonian flow;weak solution

外文关键词：large time behavior, non-Newtonian flow, weak solution

摘要：This paper concerns large time behavior of a regular weak solution for non-Newtonian flow equations. It is shown that the decay of the solution is of exponential type when the force term is equal to zero and the domain is bounded. Moreover, the ratio of the enstrophy over the energy has a limit as time tends to infinity, which is an eigenvaiue of the Stokes operator.
This paper concerns large time behavior of a regular weak solution for non-Newtonian flow equations. It is shown that the decay of the solution is of exponential type when the force term is equal to zero and the domain is bounded. Moreover, the ratio of the enstrophy over the energy has a limit as time tends to infinity, which is an eigenvaiue of the Stokes operator.