Capillary surfaces and floating bodies

Josef Bemelmans*, Giovanni P. Galdi, Mads Kyed

*この研究の対応する著者

研究成果: Article査読

2 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)1185-1200
ページ数16
ジャーナルAnnali di Matematica Pura ed Applicata
193
4
DOI
出版ステータスPublished - 2014 8月
外部発表はい

ASJC Scopus subject areas

  • 応用数学

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