Navier-Stokes-Coriolis方程解的长时间存在性

数学物理学报 ›› 2022, Vol. 42 ›› Issue (5): 1416-1423.

Navier-Stokes-Coriolis方程解的长时间存在性

孙小春(),何港晶*()

^{西北师范大学数学与统计学院兰州 730070}

收稿日期:2021-07-30 出版日期:2022-10-26 发布日期:2022-09-30
通讯作者: 何港晶 E-mail:sunxiaochun@nwnu.edu.cn;jingjing16340414@163.com
作者简介:孙小春, E-mail: sunxiaochun@nwnu.edu.cn
基金资助:
国家自然科学基金(11601434)

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

Xiaochun Sun(),Gangjing He*()

^{College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070}

Received:2021-07-30 Online:2022-10-26 Published:2022-09-30
Contact: Gangjing He E-mail:sunxiaochun@nwnu.edu.cn;jingjing16340414@163.com
Supported by:
he NSFC(11601434)

摘要/Abstract

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.

关键词: Navier-Stokes-Coriolis方程, Strichartz估计, Littlewood-Paley分解

Abstract:

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.

Key words: Navier-Stokes-Coriolis equations, Strichartz estimate, Littlewood-Paley decomposition

中图分类号:

O174.22

孙小春,何港晶. Navier-Stokes-Coriolis方程解的长时间存在性[J]. 数学物理学报, 2022, 42(5): 1416-1423.

Xiaochun Sun,Gangjing He. Long Time Existence of the Solutions for the Navier-Stokes-Coriolis Equations[J]. Acta mathematica scientia,Series A, 2022, 42(5): 1416-1423.

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