Hollow vortices and minimal surfaces
classification
🧮 math.AP
keywords
hollowproblemcorrespondenceminimalvorticesboundedconsiderdomains
read the original 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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