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. Copyright © 2017 Springer International Publishing AG.
|Journal||Zeitschrift für angewandte Mathematik und Physik|
|Publication status||Published - Oct 2017|
CitationCheung, K.-L., & Chou, K.-S. (2017, October). Energy stability of droplets and dry spots in a thin film model of hanging drops. Zeitschrift für angewandte Mathematik und Physik, 68(5), Article 104. Retrieved September 5, 2017, from http://dx.doi.org/10.1007/s00033-017-0852-2
- Energy stable solution
- Radial symmetry
- The thin film equation
- Droplets with zero contact angle