Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum

被引：5
|
作者：
Li, Yachun [1 ,2 ]
Xi, Shuai [3 ]
机构：
[1] Shanghai Jiao Tong Univ, MOE LSC, Sch Math Sci, Shanghai 200240, Peoples R China
[2] Shanghai Jiao Tong Univ, SHL MAC, Shanghai 200240, Peoples R China
[3] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 458卷 / 02期
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
Navier-Stokes-Boltzmann; Strong solutions; Vacuum; Blow-up criterion; Radiation; NAVIER-STOKES EQUATIONS; EULER-BOLTZMANN EQUATIONS; WEAK SOLUTIONS; REGULARITY; SINGULARITIES; EXISTENCE;
D O I：
10.1016/j.jmaa.2017.10.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the blow-up criteria for the Cauchy problems of three-dimensional compressible radiation fluids with vacuum. It is shown to own the same BKM-type criterion as the compressible Navier Stokes equations [14], while the L-(p) over tilde ((p) over tilde is an element of [2,3]) norm of the density gradient should be involved for the Serrin-type criterion. (C) 2017 Elsevier Inc. All rights reserved.
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页码：1166 / 1192
页数：27
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