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

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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.

Keywords

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

Mathematics Subject Classification

Primary 76A20 Secondary 35B35 35K55 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of Mathematics and Information TechnologyThe Education University of Hong KongTai PoHong Kong
  2. 2.Department of MathematicsThe Chinese University of Hong KongShatinHong Kong

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