Navier-Stokes-Coriolis方程解的长时间存在性  

Long Time Existence of the Solutions for the Navier-Stokes-Coriolis Equations

作　　者：孙小春 何港晶 Xiaochun Sun;Gangjing He(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《数学物理学报（A辑）》2022年第5期1416-1423,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(11601434)。

摘　　要：该文应用Littlewood-Paley分解, Strichartz估计及高低频分解方法研究了不可压缩Navier-Stokes-Coriolis方程在Sobolev空间H^(s)(s> 4)中解长时间存在性.In this paper,we proved the long time existence of classical solutions to the incompressible Navier-Stokes-Coriolis equation in the Sobolev space H^(s)(s> 4).Here we obtained the classical solutions via Littlewood-Paley decomposition,Strichartz estimate and high and low frequency decomposition methods.

关 键 词：Navier-Stokes-Coriolis方程 STRICHARTZ估计 Littlewood-Paley分解 

分 类 号：O174.22[理学—数学]