Global solutions for some Oldroyd models of non-Newtonian flows

被引：131
作者：
Lions, PL [1 ]
Masmoudi, N [1 ]
机构：
[1] Univ Paris 09, UMR CNRS 7534, CEREMADE, F-75775 Paris 16, France
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2000年 / 21卷 / 02期
关键词：
global solution; Oldroyd model; non-Newtonian flow;
D O I：
10.1007/BF02484187
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The authors consider here some Oldroyd models of non-Newtonian hows consisting of a strong coupling between incompressible Navier-Stokes equations and some transport equations. It is proved that there exist global weak solutions for general initial conditions. The existence proof relies upon showing the propagation in time of the compactness of solutions.
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页码：131 / 146
页数：16
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