Well-Posedness of Boundary Layer Equations for Time-Dependent Flow of Non-Newtonian Fluids

被引：7

作者：

Renardy, Michael ^{[1
]}

Wang, Xiaojun ^{[2
]}

机构：

[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2014年 / 16卷 / 01期

基金：

美国国家科学基金会;

关键词：

High Weissenberg number limit; viscoelastic flow; boundary layer; VISCOELASTIC SHEAR FLOWS; CONVECTED MAXWELL FLUID; NAVIER-STOKES EQUATION; ZERO-VISCOSITY LIMIT; DIFFERENTIAL-OPERATORS; INFINITE WEISSENBERG; REYNOLDS-NUMBERS; STABILITY;

D O I：

10.1007/s00021-013-0150-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the flow of an upper convected Maxwell fluid in the limit of high Weissenberg and Reynolds number. In this limit, the no-slip condition cannot be imposed on the solutions. We derive equations for the resulting boundary layer and prove the well-posedness of these equations. A transformation to Lagrangian coordinates is crucial in the argument.

引用

页码：179 / 191

页数：13

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