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Hollow vortices and minimal surfaces
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.
Cited literature [17 references]
https://hal.archives-ouvertes.fr/hal-01270166
Contributor : Martin Traizet Connect in order to contact the contributor
Submitted on : Friday, February 5, 2016 - 5:43:05 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:09 PM
Long-term archiving on: : Saturday, November 12, 2016 - 12:36:20 PM
Contributor : Martin Traizet Connect in order to contact the contributor
Submitted on : Friday, February 5, 2016 - 5:43:05 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:09 PM
Long-term archiving on: : Saturday, November 12, 2016 - 12:36:20 PM
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vortices.pdf
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