On the equations of capillarity

DOI10.1007/PL00000966zbMath0999.76025OpenAlexW2040954802MaRDI QIDQ5939519

Robert Finn

Publication date: 28 November 2002

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

Full work available at URL: https://doi.org/10.1007/pl00000966

zbMATH Keywords

disksurface tensionboundary contact anglecompressible liquidscylindrical containerenergy relationgeneralized capillary equationnecessary condition for existence of solutionpressure-density relationrotationally symmetric solutionssurface interface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Nonlinear elliptic equations (35J60) Displacive transformations in solids (74N10)

Related Items (13)

The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions ⋮ Nonlinear model reduction for computational vibration analysis of structures with weak geometrical nonlinearity coupled with linear acoustic liquids in the presence of linear sloshing and capillarity ⋮ Multiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions ⋮ A prescribed anisotropic mean curvature equation modeling the corneal shape: a paradigm of nonlinear analysis ⋮ Radial solutions of the Dirichlet problem for a class of quasilinear elliptic equations arising in optometry ⋮ WETTING PHENOMENA AND CONSTANT MEAN CURVATURE SURFACES WITH BOUNDARY ⋮ Positive solutions of superlinear indefinite prescribed mean curvature problems ⋮ Vibration of structures containing compressible liquids with surface tension and sloshing effects. Reduced-order model ⋮ MATHEMATICAL FRAMEWORK OF THE WELL PRODUCTIVITY INDEX FOR FAST FORCHHEIMER (NON-DARCY) FLOWS IN POROUS MEDIA ⋮ Loss of control of motions from initial data for pending capillary liquid ⋮ Regular versus singular solutions in a quasilinear indefinite problem with an asymptotically linear potential ⋮ Existence of solutions for a class of heat equations involving the mean curvature operator ⋮ Radially symmetric solutions of an anisotropic mean curvature equation modeling the corneal shape

This page was built for publication: On the equations of capillarity