Capillary surfaces and floating bodies

Josef Bemelmans, Giovanni P. Galdi, Mads Kyed

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We investigate capillary surfaces with boundary components on a floating body. The unknowns of this problem, the free surface and the position and orientation of the floating body are determined by minimizing the corresponding energy; besides gravitation and cohesion forces, we consider also adhesion between the fluid and both the wall of the container and the floating body. Existence of a solution is shown in the class of Caccioppoli sets under suitable restrictions on the data, as well as for surfaces that are graphs of real functions.

Original languageEnglish
Pages (from-to)1185-1200
Number of pages16
JournalAnnali di Matematica Pura ed Applicata
Volume193
Issue number4
DOIs
Publication statusPublished - 2014 Aug
Externally publishedYes

Keywords

  • Capillarity
  • Variational problem for Caccioppoli sets

ASJC Scopus subject areas

  • Applied Mathematics

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