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 language | English |
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Pages (from-to) | 707-744 |
Number of pages | 38 |
Journal | Journal of Differential Equations |
Volume | 256 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2014 Jan 15 |
Keywords
- Coriolis force
- Euler equations
- Strichartz estimates
ASJC Scopus subject areas
- Analysis
- Applied Mathematics