Global solutions for the incompressible rotating stably stratified fluids

Tsukasa Iwabuchi, Alex Mahalov, Ryo Takada

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


We consider the initial value problem of the 3D incompressible Boussinesq equations for rotating stratified fluids. We establish the dispersive and the Strichartz estimates for the linear propagator associated with both the rotation and the stable stratification. As an application, we give a simple proof of a unique existence of global in time solutions to our system using just a contraction mapping principle.

Original languageEnglish
Pages (from-to)613-631
Number of pages19
JournalMathematische Nachrichten
Issue number4
Publication statusPublished - 2017 Mar 1
Externally publishedYes


  • The rotating Boussinesq equations
  • the Strichartz estimates
  • the stable stratification

ASJC Scopus subject areas

  • Mathematics(all)


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