Strichartz estimates for the Euler equations in the rotational framework
Strichartz estimates for the Euler equations in the rotational framework
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DOI：
10.1016/j.jde.2013.09.017
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发表时间：
2014-01
影响因子：
2.4
通讯作者：
Youngwoo Koh;Sanghyuk Lee;Ryo Takada
中科院分区：
文献类型：
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作者：
Youngwoo Koh;Sanghyuk Lee;Ryo Takada
我们在旋转框架下考虑不可压缩Euler方程的初值问题。我们得到了与科里奥利力相关的线性群的Strichartz估计的最优范围。作为应用，我们证明了只要转速足够高，解的寿命可以取任意大。
We consider the initial value problems of the incompressible Euler equations in the rotational framework. We obtain the optimal range of the Strichartz estimate for the linear group associated with the Coriolis forces. As an application, we prove that the lifespan of the solution can be taken arbitrarily large provided that the speed of rotation is sufficiently high.