Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity

被引：0
|
作者：
Ladyzhenskaya O.A. [1 ]
Seregin G.A. [1 ]
机构：
[1] St. Petersburg Department of the Steklov Mathematical Institute,
来源：
Journal of Mathematical Sciences | 2002年 / 109卷 / 5期
基金：
俄罗斯基础研究基金会;
关键词：
Viscosity; Fluid Dynamics; Velocity Field; Boundary Problem; Newtonian Fluid;
D O I：
10.1023/A:1014444308725
中图分类号：
学科分类号：
摘要：
This paper is concerned with the analysis of two-dimensional equations that arise in the theory of generalized Newtonian fluids. The main result is as follows: if the data of the corresponding initial boundary problem are smooth, then any spatial derivative of the velocity field is a locally Lipschitz function. ©2002 Plenum Publishing Corporation. © 2002 Plenum Publishing Corporation.
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页码：1911 / 1927
页数：16
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