Non-homogeneous generalized Newtonian fluids

被引：21

作者：

Frehse, Jens ^{[2
]}

Ruzicka, Michael ^{[1
]}

机构：

[1] Univ Freiburg, Inst Appl Math, D-79104 Freiburg, Germany

[2] Univ Bonn, Inst Appl Math, D-53115 Bonn, Germany

来源：

MATHEMATISCHE ZEITSCHRIFT | 2008年 / 260卷 / 02期

关键词：

D O I：

10.1007/s00209-007-0278-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show the existence of weak solutions to the system describing the motion of incompressible, non-homogeneous generalized Newtonian fluids if the extra stress tensor S(rho, D) possesses p-structure with p >= 3d + 2/d + 2 and variable viscosity. The limiting process in the equation of motion is justified by a variational argument, which is new in this context.

引用

页码：355 / 375

页数：21

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