UNSTEADY FLOWS OF NON-NEWTONIAN FLUIDS IN GENERALIZED ORLICZ SPACES

被引：10
|
作者：
Wroblewska-Kaminska, Aneta [1 ]
机构：
[1] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 06期
关键词：
Non-Newtonian fluid; weak solutions; Orlicz spaces; generalized Minty method; nonhomogeneous fluid; incompressible fluid; smart fluids; WEAK SOLUTIONS; EXISTENCE; EQUATIONS;
D O I：
10.3934/dcds.2013.33.2565
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our purpose is to show existence of weak solutions to unsteady flow of non-Newtonian incompressible nonhomogeneous fluids with nonstandard growth conditions of the stress tensor. We are motivated by the fluids of anisotropic behaviour and characterised by rapid shear thickening. Since we are interested in flows with the rheology more general than power-law-type, we describe the growth conditions with the help of an x-dependent convex function and formulate our problem in generalized Orlicz spaces.
引用
收藏
页码：2565 / 2592
页数：28
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