Plateau-Rayleigh instability of singular minimal surfaces

DOI10.3934/CPAA.2022086zbMath1504.53080OpenAlexW4285203803MaRDI QIDQ2090393

Rafael López

Publication date: 25 October 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2022086

zbMATH Keywords

stabilitycylindrical surfacesingular minimal surfacePlateau-Rayleigh criterion

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Variational principles in infinite-dimensional spaces (58E30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (4)

Geometric and architectural aspects of the singular minimal surface equation ⋮ A relation between cylindrical critical points of Willmore-type energies, weighted areas and vertical potential energies ⋮ The Plateau-Rayleigh instability of translating \(\lambda\)-solitons ⋮ A dome subjected to compression forces: a comparison study between the mathematical model, the catenary rotation surface and the paraboloid

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