Local well-posedness and blow-up criterion for a compressible Navier-Stokes-P1 approximate model arising in radiation hydrodynamics

被引：3

作者：

He, Fangyi ^{[1
]}

Fan, Jishan ^{[2
]}

Zhou, Yong ^{[3
]}

机构：

[1] Southwestern Univ Finance & Econ, Sch Finance, Chengdu 611130, Sichuan, Peoples R China

[2] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Jiangsu, Peoples R China

[3] Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Peoples R China

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2018年 / 98卷 / 09期

基金：

中国国家自然科学基金;

关键词：

blow-up criterion; radiation hydrodynamics; vacuum; well-posedness; 35Q30; 35Q35; 35B25; NAVIER-STOKES EQUATIONS; MACH NUMBER LIMIT; INCOMPRESSIBLE LIMIT;

D O I：

10.1002/zamm.201700142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the local well-posedness and a blow-up criterion of strong solutions for a compressible Navier-Stokes-P1 approximate model arising in radiation hydrodynamics, provided the initial data satisfy a natural compatibility condition. We do not assume the positivity of initial density, it may vanish in an open subset (vacuum) of :=T3. In this paper we prove the local well-posedness and a blow-up criterion of strong solutions for a compressible Navier-Stokes-P1 approximate model arising in radiation hydrodynamics, provided the initial data satisfy a natural compatibility condition. We do not assume the positivity of initial density, it may vanish in an open subset (vacuum) of :=T3.

引用

页码：1632 / 1641

页数：10

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