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arXiv · 2109.07810

An application of spectral localization to critical SQG on a ball

Tsukasa Iwabuchi
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Abstract

We study the Cauchy problem for the quasi-geostrophic equations in a unit ball of the two dimensional space with the homogeneous Dirichlet boundary condition. We show the existence, the uniqueness of the strong solution in the framework of Besov spaces. We establish a spectral localization technique and commutator estimates.

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Tsukasa Iwabuchi. 2021-09-16. An application of spectral localization to critical SQG on a ball. https://arxiv.org/abs/2109.07810

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