2016 Volume 68 Issue 2 Pages 579-608
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).
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