On the existence of solutions to the Navier-Stokes equations of a two-dimensional compressible flow

被引：15

作者：

Erban, R ^{[1
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2003年 / 26卷 / 06期

关键词：

D O I：

10.1002/mma.362

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Navier-Stokes equations for compressible, barotropic flow in two space dimensions. We introduce useful tools from the theory of Orlicz spaces. Then we prove the existence of globally defined finite energy weak solutions for the pressure satisfying p(Q) = aq log(d) (Q) for large Q. Here d > 1 and a > 0. Copyright (C) 2003 John Wiley Sons, Ltd.

引用

页码：489 / 517

页数：29

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