Decay estimate and well-posedness for the 3D Euler equations with Coriolis force
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In this paper, we are concerned with the cauchy problem of the 3D Euler equations in rotation framework. Provided the speed of rotation \(|\Omega |\) is sufficiently large, we can obtain the global well-posedness of corresponding solutions. The lower bound of \(|\Omega |\) 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.
KeywordsEuler equations Decay estimate Well-posedness
Mathematics Subject Classification35Q31 76B03
This paper is supported by NSF of China No. 11671363.
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