Stability of a Liquid Drop Trapped Between Two Parallel Planes II: General Contact Angles

DOI10.1137/0149061zbMath0691.53007OpenAlexW2172141049MaRDI QIDQ3032929

Thomas I. Vogel

Publication date: 1989

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0149061

zbMATH Keywords

constant mean curvaturecapillaritymean curvature operatorliquid dropcontact anglesstable drop

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimality conditions for free problems in two or more independent variables (49K10) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

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Stability of Delaunay surface solutions to capillary problems ⋮ Liquid bridges between balls: the small volume instability ⋮ Surface energy minimizing configurations for axisymmetric microparticles ⋮ Stability and Folds in an Elastocapillary System ⋮ Stability of unduloid bridges with free boundary in a Euclidean slab ⋮ On the small oscillations of a catenoidal liquid drop between two parallel plates under zero gravity ⋮ Anisotropic capillary surfaces with wetting energy ⋮ A survey of Delaunay surfaces with applications in capillary surfaces ⋮ Stability of axisymmetric liquid bridges ⋮ Equilibria for anisotropic surface energies with wetting and line tension ⋮ Simultaneously resolved bifurcation diagrams: A novel global approach applied to liquid figures of equilibrium ⋮ Stability of capillary hypersurfaces with planar boundaries ⋮ On the stability of a cylindrical liquid bridge ⋮ Capillary surfaces inside polyhedral regions ⋮ Uniqueness of stable capillary hypersurfaces in a ball

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