Existence of strong solutions to the equations of unsteady motion of shear thickening incompressible fluids

被引：7

作者：

Bae, Hyeong-Ohk ^{[1
]}

Wolf, Joerg ^{[2
]}

机构：

[1] Ajou Univ, Dept Financial Engn, Suwon 441749, South Korea

[2] Humboldt Univ, D-10099 Berlin, Germany

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2015年 / 23卷

基金：

新加坡国家研究基金会;

关键词：

Shear thickening fluid; Strong solution; Weighted estimate; Difference quotient; Non-Newtonian fluid; Short time regularity; GENERALIZED NEWTONIAN FLUIDS; WEAK SOLUTIONS;

D O I：

10.1016/j.nonrwa.2014.12.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We address the existence of strong solutions to a system of equations of motion of an incompressible non-Newtonian fluid. Our aim is to prove the short-time existence of strong solutions for the case of shear thickening viscosity, which corresponds to the power law v(D) = vertical bar D vertical bar(q-2) (2 < q < +infinity). In particular, we find that global strong solutions exist whenever q > 2.23 .... The results are obtained by flattening the boundary and by using the difference quotient method. Near the boundary, we use weighted estimates in the normal direction. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：160 / 182

页数：23

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