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.
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页码：1632 / 1641
页数：10
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