Global solutions for the incompressible rotating stably stratified fluids

Tsukasa Iwabuchi, Alex Mahalov, Ryo Takada

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


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 (US)
Pages (from-to)613-631
Number of pages19
JournalMathematische Nachrichten
Issue number4
StatePublished - Mar 1 2017


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

ASJC Scopus subject areas

  • Mathematics(all)


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