In this paper, we are concerned with the cauchy problem of the 3D Euler equations in rotation framework. Provided the speed of rotation $$|\Omega |$$ | Ω | is sufficiently large, we can obtain the global well-posedness of corresponding solutions. The lower bound of $$|\Omega |$$ | Ω | is the polynomial form of the initial data and the time, which improves the exponential form by Koh et al. (J Differ Equ 256:707–744, 2014). The idea is applying a decay estimate instead of the Strichartz estimate.
Monatshefte f�r Mathematik – Springer Journals
Published: Jan 11, 2018
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