Capillary surfaces in circular cylinders

DOI10.1007/S00021-021-00589-9zbMath1480.76022OpenAlexW4252026438MaRDI QIDQ5918377

Thomas I. Vogel

Publication date: 31 August 2021

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-021-00589-9

zbMATH Keywords

stabilityeigenvalue problemconstant mean curvaturecapillarityDelaunay surfaceenergy minimalitycylindical surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Variational methods applied to problems in fluid mechanics (76M30) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (1)

Stability of Delaunay surface solutions to capillary problems

Cites Work

• Convex, rotationally symmetric liquid bridges between spheres
• Comments on radially symmetric liquid bridges with inflected profiles
• The stability of the axially symmetric pendent drop
• Local energy minimality of capillary surfaces in the presence of symmetry.
• Liquid bridges between balls: the small volume instability
• Capillary surfaces of constant mean curvature in a right solid cylinder
• On the volume infimum for liquid bridges
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