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.
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页码：179 / 191
页数：13
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