On the Existence of Globally Defined Weak Solutions to the Navier-Stokes Equations

被引：740

作者：

Feireisl, Eduard ^{[1
]}

Novotny, Antonin ^{[2
]}

Petzeltova, Hana ^{[1
]}

机构：

[1] Inst Math AV CR, Zitna 25, CZ-11567 Prague 1, Czech Republic

[2] Univ Toulon & Var, F-83957 La Garde, France

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2001年 / 3卷 / 04期

关键词：

Compressible Navier-Stokes equations; global existence; critical adiabatic exponent;

D O I：

10.1007/PL00000976

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of globally defined weak solutions to the Navier-Stokes equations of compressible isentropic flows in three space dimensions on condition that the adiabatic constant satisfies gamma > 3/2.

引用

页码：358 / 392

页数：35

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