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arXiv · 1407.5308

Hollow vortices and minimal surfaces

Martin Traizet
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Abstract

We consider an overdetermined elliptic problem known as the hollow vortex problem. We prove that the solutions to this problem are in 1:1 correspondence with minimal graphs bounded by horizontal symmetry lines. We use this correspondence to give various examples of domains with hollow vortices.

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Martin Traizet. 2014-07-20. Hollow vortices and minimal surfaces. https://doi.org/10.1063/1.4927248

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