Fluid flows around floating bodies, I: The hydrostatic case

Josef Bemelmans*, Giovanni P. Galdi, Mads Kyed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We consider the hydrostatic configuration of a body floating freely on a liquid. Under the influence of gravitational and capillary forces there exists an equilibrium solution with contact angle π/2. This solution is the minimizer of a variational problem with an obstacle condition; the corresponding free boundary consists of the curve where the capillary surface meets the floating body.

Original languageEnglish
Pages (from-to)751-770
Number of pages20
JournalJournal of Mathematical Fluid Mechanics
Issue number4
Publication statusPublished - 2012 Dec
Externally publishedYes

ASJC Scopus subject areas

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics


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