Abstract
We consider the initial value problem of the 3D incompressible rotating Euler equations. We prove the long time existence of classical solutions for initial data in Hs(ℝ3) with s > 5/2. Also, we give an upper bound of the minimum speed of rotation for the long time existence when initial data belong to H7/2(ℝ3).
Original language | English |
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Pages (from-to) | 579-608 |
Number of pages | 30 |
Journal | Journal of the Mathematical Society of Japan |
Volume | 68 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2016 Jan 1 |
Keywords
- Long time existence
- The 3D Euler equations
- The Coriolis force
ASJC Scopus subject areas
- Mathematics(all)