Refined blow-up criteria for the full compressible Navier-Stokes equations involving temperature

被引：8
|
作者：
Jiu, Quansen [1 ]
Wang, Yanqing [2 ]
Ye, Yulin [3 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[2] Zhengzhou Univ Light Ind, Dept Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China
[3] Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2021年 / 21卷 / 02期
基金：
中国博士后科学基金; 北京市自然科学基金; 中国国家自然科学基金;
关键词：
Full compressible Navier-Stokes equations; Strong solutions; Blow-up criteria; SUITABLE WEAK SOLUTIONS; REGULARITY CRITERIA; INTERIOR REGULARITY; CLASSICAL-SOLUTIONS; SMOOTH SOLUTIONS; EXISTENCE; PRESSURE; VACUUM;
D O I：
10.1007/s00028-020-00660-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, inspired by the study of the energy flux in local energy inequality of the 3D incompressible Navier-Stokes equations, we improve almost all the blow-up criteria involving temperature to allow the temperature in its scaling invariant space for the 3D full compressible Navier-Stokes equations. Enlightening regular criteria via pressure Pi = divdiv/-Delta (u(i) u(j)) of the 3D incompressible Navier-Stokes equations on bounded domain, we generalize Beirao da Veiga's result in (Chin Ann Math Ser B 16:407-412, 1995) from the incompressible Navier-Stokes equations to the isentropic compressible Navier-Stokes system in the case away from vacuum.
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页码：1895 / 1916
页数：22
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