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 $H^s(\mathbb{R}^3)$ 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 $H^{7/2}(\mathbb{R}^3)$.
Citation
Ryo TAKADA. "Long time existence of classical solutions for the 3D incompressible rotating Euler equations." J. Math. Soc. Japan 68 (2) 579 - 608, April, 2016. https://doi.org/10.2969/jmsj/06820579
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