Equilibria for anisotropic surface energies with wetting and line tension

Miyuki Koiso, Bennett Palmer

研究成果: Contribution to journalArticle査読

3 被引用数 (Scopus)

抄録

We study the stability of surfaces trapped between two parallel planes with free boundary on these planes. The energy functional consists of anisotropic surface energy, wetting energy, and line tension. Equilibrium surfaces are surfaces with constant anisotropic mean curvature. We study the case where the Wulff shape is of "product form", that is, its horizontal sections are all homothetic and have a certain symmetry. Such an anisotropic surface energy is a natural generalization of the area of the surface. In particular, we study the stability of parts of anisotropic Delaunay surfaces which arise as equilibrium surfaces. They are surfaces of the same product form of the Wulff shape. We show that, for these surfaces, the stability analysis can be reduced to the case where the surface is axially symmetric and the functional is replaced by an appropriate axially symmetric one. Moreover, we obtain necessary and sufficient conditions for the stability of anisotropic sessile drops.

本文言語英語
ページ(範囲)555-587
ページ数33
ジャーナルCalculus of Variations and Partial Differential Equations
43
3-4
DOI
出版ステータス出版済み - 3 2012

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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