On the existence of weak solutions to the steady compressible Navier-Stokes equations when the density is not square integrable

被引：27

作者：

Novo, S ^{[1
]}

Novotny, A ^{[1
]}

机构：

[1] Univ Toulon & Var, Lab Anal Non Lineaire Appl & Modelisat, F-83957 La Garde, France

来源：

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 2002年 / 42卷 / 03期

关键词：

D O I：

10.1215/kjm/1250283849

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the steady compressible Navier-Stokes equations in the isentropic regime in a bounded domain of R-3. We show that the renormalized continuity equation holds even if the density is not square integrable. We use this result to prove existence of weak solutions under the sole hypothesis gamma > 3/2 for the adiabatic constant.

引用

页码：531 / 550

页数：20

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