Strichartz estimates for the Euler equations in the rotational framework

Youngwoo Koh, Sanghyuk Lee, Ryo Takada

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

We consider the initial value problems of the incompressible Euler equations in the rotational framework. We obtain the optimal range of the Strichartz estimate for the linear group associated with the Coriolis forces. As an application, we prove that the lifespan of the solution can be taken arbitrarily large provided that the speed of rotation is sufficiently high.

Original languageEnglish
Pages (from-to)707-744
Number of pages38
JournalJournal of Differential Equations
Volume256
Issue number2
DOIs
Publication statusPublished - 2014 Jan 15

Keywords

  • Coriolis force
  • Euler equations
  • Strichartz estimates

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Strichartz estimates for the Euler equations in the rotational framework'. Together they form a unique fingerprint.

Cite this