SOME RECURRENT MOTIONS OF NAVIER-STOKES EQUATIONS WITH CORIOLIS FORCE

被引：0

作者：

Chen, Feng ^{[1
,2
]}

Jiang, Xiaomeng ^{[3
]}

Li, Yong ^{[3
,4
,5
]}

机构：

[1] Changchun Univ, Sch Sci, Changchun 130022, Peoples R China

[2] Changchun Univ, Jilin Prov Key Lab Human Hlth Status Identificat &, Changchun 130022, Peoples R China

[3] Jilin Univ, Sch Math, Changchun 130012, Peoples R China

[4] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[5] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2023年 / 28卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes equations; coriolis force; almost automorphic solution; birkhoff recurrent solution; poisson stable solution; TIME-PERIODIC SOLUTIONS; STABLE-SOLUTIONS; REGULARITY; EXISTENCE; STABILITY; EULER;

D O I：

10.3934/dcdsb.2023014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the problems of recurrence (almost au-tomorphy, Birkhoff recurrence, Poisson stability) for Navier-Stokes equations with a small external force in the rotational framework. We prove that these fluid equations admit a unique solution which possesses the same character of recurrence as the external force.

引用

页码：4311 / 4324

页数：14

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