Regularization of a non-Newtonian system in an unbounded channel: existence of a maximal compact attractor

被引：51
作者：
Bloom, F [1 ]
Hao, WG [1 ]
机构：
[1] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 43卷 / 06期
关键词：
maximal compact attractor; non-Newtonian system; unbounded channel; nonlinear bipolar fluid;
D O I：
10.1016/S0362-546X(99)00232-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The constitutive relations for an isothermal, nonlinear, incompressible bipolar viscous fluid are investigated. For the initial value problem, the existence and uniqueness of the solutions are established. For the space-periodic version of the bipolar viscous problem, the existence and uniqueness of solutions for appropriate values of the constitutive parameters are proven.
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页码：743 / 766
页数：24
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