ON THE NON-NEWTONIAN INCOMPRESSIBLE FLUIDS

被引：96

作者：

MALEK, J

NECAS, J

RUZICKA, M

机构：

[1] CHARLES UNIV, INST MATH, CS-18600 PRAGUE 8, CZECHOSLOVAKIA

[2] INST APPL MATH, W-5300 BONN 1, GERMANY

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1993年 / 3卷 / 01期

关键词：

D O I：

10.1142/S0218202593000047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Navier-Stokes equations can be included as a special case into the class of non-Newtonian incompressible fluids with the nonlinear stress tensor tau = tau(e), the components of which satisfy the p-growth condition. Measure-valued solutions already exist for p > 2n/(n + 2). For the space periodic problem, the existence of the weak solution is then obtained for p > 3n/(n + 2). These solutions are regular and unique for p greater-than-or-equal-to 1 + 2n/(n + 2).

引用

页码：35 / 63

页数：29

共 21 条

[1]

Adams R.A., 1975, SOBOLEV SPACES

[2]

BALL JM, 1989, LECT NOTE PHYS, V344, P241

[3]

BELLOUT H, 1991, YOUNG MEASURE VALUED

[4]

BELLOUT H, IN PRESS Q APPL MATH