Energy stability of droplets and dry spots in a thin film model of hanging drops

Ka Luen CHEUNG, Kai Seng CHOU

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.
Original languageEnglish
Article number104
JournalZeitschrift für angewandte Mathematik und Physik
Volume68
Issue number5
DOIs
Publication statusPublished - Oct 2017

Citation

Cheung, 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

Keywords

  • Energy stable solution
  • Radial symmetry
  • The thin film equation
  • Droplets with zero contact angle

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