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.

引用

页码：4715 / 4744

页数：30

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