Local existence for the dumbbell model of polymeric fluids

被引：31
作者：
Li, TJ
Zhang, H
Zhang, PW
机构：
[1] Peking Univ, LMAM, Beijing 100871, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2004年 / 29卷 / 5-6期
基金：
中国国家自然科学基金;
关键词：
dumbbell model; Navier-Stokes equation; Fokker-Plank equation;
D O I：
10.1081/PDE-120037336
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A local existence and uniqueness theorem is proved for a micro-macro model for polymeric fluid, as well as the property of the solution. The polymer stress tenser is given by an integral which involves the solution of a diffusion equation, the coefficient of this diffusion equation depends on the gradient of the solution of the Navier-Stokes equation.
引用
收藏
页码：903 / 923
页数：21
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