Global existence of strong solutions to micropolar equations in cylindrical domains

被引：3

作者：

Nowakowski, Bernard ^{[1
]}

机构：

[1] Polish Acad Sci, Inst ofMathemat, PL-00956 Warsaw, Poland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 02期

关键词：

micropolar fluids; cylindrical domains; global existence; strong solutions; NAVIER-STOKES EQUATIONS; LONG-TIME BEHAVIOR; REGULAR SOLUTIONS; BOUNDARY-CONDITIONS; FLUID EQUATIONS; STABILITY; SYSTEM;

D O I：

10.1002/mma.3070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The micropolar equations are a useful generalization of the classical Navier-Stokes model for fluids with microstructure. We prove the existence of global and strong solutions to these equations in cylindrical domains in R-3. We do not impose any restrictions on the magnitude of the initial and external data, but we require that they cannot change in the x(3)-direction too fast. Copyright (C) 2014 John Wiley & Sons, Ltd.

引用

页码：311 / 329

页数：19

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