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arXiv · 2209.04964

Existence of vortex sheet solutions to the SQG Equation

Edison Cuba·Lucas C. F. Ferreira
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Abstract

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.

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Edison Cuba, Lucas C. F. Ferreira. 2022-09-12. Existence of vortex sheet solutions to the SQG Equation. https://arxiv.org/abs/2209.04964

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