GLOBAL STRONG SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES SYSTEM WITH POTENTIAL TEMPERATURE TRANSPORT

被引：0
|
作者：
Zhai, Xiaoping [1 ]
Li, Yongsheng [2 ]
Zhou, Fujun [2 ]
机构：
[1] Guangdong Univ Technol, Sch Math & Stat, Guangzhou 510520, Peoples R China
[2] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2023年 / 21卷 / 08期
关键词：
Global solutions; Compressible Navier-Stokes equations; Besov spaces; WELL-POSEDNESS; EQUATIONS; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the global strong solutions to the compressible Navier-Stokes system with potential temperature transport in Rn. Different from the Navier-Stokes-Fourier system, the pressure being a nonlinear function of the density and the potential temperature, we can not exploit the special quasi-diagonalization structure of this system to capture any dissipation of the density. Some new ideas and delicate analysis involving high or low frequency decomposition in the Besov spaces have to be made to close the energy estimates.
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页码：2247 / 2260
页数：14
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