Blow up criterion for the 2D full compressible Navier-Stokes equations involving temperature in critical spaces
Blow up criterion for the 2D full compressible Navier-Stokes equations involving temperature in critical spaces
复制标题
涉及临界空间温度的二维全可压缩纳维-斯托克斯方程的爆炸准则
DOI：
10.1063/5.0024184
复制
发表时间：
2021
影响因子：
1.3
通讯作者：
Xiao Yuelong
中科院分区：
文献类型：
--
作者：
Fan Jie;Jiu Quansen;Wang Yanqing;Xiao Yuelong
本文受三维不可压Navier-Stokes方程局部能量不等式中能流研究的启发，对几乎所有涉及温度的爆破准则进行了改进，使温度在三维完全可压Navier-Stokes方程的标度不变空间中。利用有界区域上三维不可压Navier-Stokes方程的压力正则准则，将Beirao da Veiga（Chin Ann Math Ser B 16：407-412，1995）的结果从不可压Navier-Stokes方程推广到远离真空的等熵可压Navier-Stokes方程。
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 pressureof 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.