Abstract
Koh Y et al (2014 J. Differ. Equ. 256 704–44) proved the long time existence of classical solutions to the 3D rotating Euler equations for initial data in the Sobolev space (s > 7/2). Here we improve their assumed regularity and weaken the lower bound of the rotating speed by establishing a new low-frequency Strichartz estimate and taking two different measures to dominate the Lip norm of the velocity. As an application, we derive similar results for some related models.
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