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arXiv · 1704.06132

Global well-posedness of critical surface quasigeostrophic equation on the sphere

Diego Alonso-Oran·Antonio Cordoba·Angel D. Martinez
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Abstract

In this paper we prove global well-posedness of the critical surface quasigeostrophic equation on the two dimensional sphere building on some earlier work of the authors. The proof relies on an improving of the previously known pointwise inequality for fractional laplacians as in the work of Constantin and Vicol for the euclidean setting.

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Diego Alonso-Oran, Antonio Cordoba, Angel D. Martinez. 2017-04-20. Global well-posedness of critical surface quasigeostrophic equation on the sphere. https://arxiv.org/abs/1704.06132

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