Existence result for heat-conducting viscous incompressible fluids with vacuum

被引：45

作者：

Cho, Yonggeun ^{[1
,2
]}

Kim, Hyunseok ^{[3
]}

机构：

[1] Chonbuk Natl Univ, Dept Math, Jeonju 561756, South Korea

[2] Chonbuk Natl Univ, Inst Pure & Appl Math, Jeonju 561756, South Korea

[3] Sogang Univ, Dept Math, Seoul 121742, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 03期

关键词：

heat-conducting incompressible Navier-Stokes equations; strong solutions; vacuum;

D O I：

10.4134/JKMS.2008.45.3.645

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Navier-Stokes system for heat-conducting incompressible fluids is studied in a domain Omega subset of R-3. The viscosity, heat conduction coefficients and specific heat at constant volume are allowed to depend smoothly on density and temperature. We prove local existence of the unique strong solution, provided the initial data satisfy a natural compatibility condition. For the strong regularity, we do not assume the positivity of initial density; it may vanish in an open subset (vacuum) of Omega or decay at infinity when Omega is unbounded.

引用

页码：645 / 681

页数：37

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