Local well-posedness of compressible radiation hydrodynamic equations with density-dependent viscosities and vacuum

被引：1
|
作者：
Li, Hao [1 ]
Li, Yachun [2 ,3 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Math Sci, MOE LSC, Shanghai 200240, Peoples R China
[3] Shanghai Jiao Tong Univ, SHL MAC, Shanghai 200240, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 06期
基金：
中国国家自然科学基金;
关键词：
degenerate viscosity; Navier‐ Stokes‐ Boltzmann equations; radiation hydrodynamics; regular solutions; vacuum; EULER-BOLTZMANN EQUATIONS; WEAK SOLUTIONS; CAUCHY-PROBLEM; BLOW-UP; EXISTENCE; MODEL; SINGULARITIES; KORTEWEG;
D O I：
10.1002/mma.7064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the Cauchy problem for three-dimensional isentropic compressible radiation hydrodynamic equations with density-dependent viscosity coefficients. When the viscosity coefficients are given as power of density (rho(delta) with delta > 1), we establish the local-in-time existence of classical solutions containing a vacuum for large initial data. Here, we point out that the initial layer compatibility conditions are not necessary.
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页码：4715 / 4744
页数：30
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