Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces

Matthias Hieber, Alex Mahalov, Ryo Takada

研究成果: Contribution to journalArticle

2 引用 (Scopus)

抜粋

Consider the 3D incompressible Boussinesq equations for rotating stably stratified fluids. It is shown that this set of equations possesses a unique time periodic or almost time periodic solutions for external forces satisfying these properties, which, however, do not necessarily need to be small. An explicit bound on the size of the external force, depending on the buoyancy frequency N, is given, which then allows for the unique existence of time periodic or almost periodic solutions. In particular, the size of the external forces can be taken large with respect to the buoyancy frequency. The approach depends crucially on the dispersive effect of the rotation and the stable stratification.

元の言語英語
ページ(範囲)977-1002
ページ数26
ジャーナルJournal of Differential Equations
266
発行部数2-3
DOI
出版物ステータス出版済み - 1 15 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

フィンガープリント Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用