Estimates near the boundary for critical SQG

Peter Constantin; Mihaela Ignatova

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arXiv · 1911.03266

Estimates near the boundary for critical SQG

Peter Constantin·Mihaela Ignatova

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Abstract

We obtain estimates near the boundary for the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove that global regularity up to the boundary holds if and only if a certain quantitative vanishing of the scalar at the boundary is maintained.

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Peter Constantin, Mihaela Ignatova. 2019-11-08. Estimates near the boundary for critical SQG. https://arxiv.org/abs/1911.03266

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