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 ##IMG## [http://ej.iop.org/images/0951-7715/33/8/3763/nonab86cfieqn1.gif] {${H}^{s}\left({\mathbb{R}}^{3}\right)$} ( 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.

中文翻译：

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最优Sobolev空间中旋转Euler方程和相关模型的经典解的长期存在。

Koh Y等人（2014 J. Differ。Equ。256 704–44）证明了Sobolev空间## IMG ##中初始数据的3D旋转Euler方程经典解决方案的长期存在。 iop.org/images/0951-7715/33/8/3763/nonab86cfieqn1.gif] {$ {H} ^ {s} \ left（{\ mathbb {R}} ^ {3} \ right）$}（s > 7/2）。在这里，我们通过建立新的低频Strichartz估计并采取两种不同的方法来控制速度的Lip范数来改善它们的假定规律性并削弱旋转速度的下限。作为应用程序，我们可以为某些相关模型得出相似的结果。