Energy stability of droplets and dry spots in a thin film model of hanging drops
- 55 Downloads
The 2-D thin film equation describing the evolution of hang drops is studied. All radially symmetric steady states are classified, and their energy stability is determined. It is shown that the droplet with zero contact angle is the only global energy minimizer and the dry spot with zero contact angle is a strict local energy minimizer.
KeywordsEnergy stable solution Radial symmetry The thin film equation Droplets with zero contact angle
Mathematics Subject ClassificationPrimary 76A20 Secondary 35B35 35K55
- 9.Hammond, P.S.: Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe. J. Fluid Mech. 137, 363–384 (1983)Google Scholar