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arXiv:2209.04964 [math.AP]AbstractReferencesReviewsResources

Existence of vortex sheet solutions to the SQG Equation

Edison Cuba, Lucas C. F. Ferreira

Published 2022-09-12Version 1

This paper addresses the existence of vortex sheets for the SQG equation. More precisely, we construct a family of stationary vortex sheet solutions that are concentrated on curves that are small perturbations of circles centered on a given non-degenerate critical point. To the best of our knowledge, this is a novel result on the existence of vortex sheets to the SQG equation.

Comments: 28 pages. arXiv admin note: text overlap with arXiv:2108.06909 by other authors
Categories: math.AP
Subjects: 35Q35, 76B03, 76B47
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