Existence of non-convex rotating vortex patches to the 2D Euler equation

Authors

Keywords:

PDE, fluid mechanics, 2D Euler, vortex patches, computer assisted proofs

Abstract

The only explicit examples of uniformly rotating vortex patches to the 2D Euler equations are circles and ellipses. The other examples for which quantitative properties are known are close to these ones.

In this paper we present the existence of non-convex ones, far from the perturbative regimes, being able to obtain a precise quantitative description. To prove it we use a combination of analysis and computer assisted proofs techniques.

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Published

2025-12-04

How to Cite

Castro López, G. (2025). Existence of non-convex rotating vortex patches to the 2D Euler equation. Reports@SCM, 10(1), 43–50. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/155251

Issue

Vol. 10 No. 1 (2025)

Section

Articles

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