Hollow vortices and minimal surfaces

DOI10.1063/1.4927248zbMath1322.49069arXiv1407.5308OpenAlexW3100750249MaRDI QIDQ2945505

Martin Traizet

Publication date: 11 September 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5308

zbMATH Keywords

minimal surfaceshollow vorticesoverdetermined elliptic problem

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (4)

A note on an overdetermined problem for minimal surface equation ⋮ Dima Khavinson's 60th: a summary of open problems in analysis and mathematical physics ⋮ A note on arclength null quadrature domains ⋮ On a free boundary problem and minimal surfaces

Cites Work

• An overdetermined problem in potential theory
• Some nonexistence results for the minimal surface equation
• The strong halfspace theorem for minimal surfaces
• The extension of the Weil-Petersson metric to the boundary of Teichmüller space
• The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
• An embedded minimal surface with no symmetries
• Teichmüller theory and handle addition for minimal surfaces
• Quasi-exceptional domains
• On an overdetermined elliptic problem
• Classification of the solutions to an overdetermined elliptic problem in the plane
• Opening infinitely many nodes
• The construction of doubly periodic minimal surfaces via balance equations
• A Phragmen-Lindelof Theorem Conjectured by D. J. Newman
• Structure of a linear array of hollow vortices of finite cross-section
• Hollow vortices, capillary water waves and double quadrature domains
• Analytical solutions for von Kármán streets of hollow vortices

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