一类非牛顿系统弱解的长时间性态(英文)  

Large Time Behavior for Weak Solutions to the System of the Non-Newtonian Fluids

作　　者：董柏青[1] 赵才地[2] 李用声[3] 

机构地区：[1]南开大学数学科学学院,天津300071 [2]温州师范学院数学与信息科学系,温州325027 [3]华南理工大学应用数学系,广州510640

出　　处：《应用数学》2005年第2期204-208,共5页Mathematica Applicata

基　　金：Supported by Natural Science Foundation of China(10001013);Natural Science Foundation of Zhejiang Province(M103043)

摘　　要：本文讨论一类非牛顿系统弱解的长时间性态,证明解在L2 范数下的衰减速率为(1+ t)-n/4 达到和线性热方程一致.In this paper,the large time behavior to th e system of the incompressible non-Newtonian fluids is investigated and it is pro ved that the weak solutions decay in L2 norm at a rate (1+t) -n/4 which is the same as the solutions of the heat equations.

关 键 词：长时间性态 弱解 非牛顿流体 

分 类 号：O175.29[理学—数学] O177.92[理学—基础数学]