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

Matthias Hieber, Alex Mahalov, Ryo Takada

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)977-1002
Number of pages26
JournalJournal of Differential Equations
Volume266
Issue number2-3
DOIs
Publication statusPublished - Jan 15 2019

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Stratified Fluid
Rotating Fluid
Time-periodic Solutions
Buoyancy
Fluids
Almost Periodic Solution
Explicit Bounds
Boussinesq Equations
Stratification

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces. / Hieber, Matthias; Mahalov, Alex; Takada, Ryo.

In: Journal of Differential Equations, Vol. 266, No. 2-3, 15.01.2019, p. 977-1002.

Research output: Contribution to journalArticle

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