Capillary surfaces and floating bodies

Josef Bemelmans; Giovanni P. Galdi; Mads Kyed

doi:10.1007/s10231-013-0323-0

Capillary surfaces and floating bodies

Josef Bemelmans^*, Giovanni P. Galdi, Mads Kyed

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1185-1200
Number of pages	16
Journal	Annali di Matematica Pura ed Applicata
Volume	193
Issue number	4
DOIs	https://doi.org/10.1007/s10231-013-0323-0
Publication status	Published - 2014 Aug
Externally published	Yes

Keywords

Capillarity
Variational problem for Caccioppoli sets

ASJC Scopus subject areas

Applied Mathematics

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10.1007/s10231-013-0323-0

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AU - Bemelmans, Josef

AU - Galdi, Giovanni P.

AU - Kyed, Mads

PY - 2014/8

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N2 - 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.

AB - 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.

KW - Capillarity

KW - Variational problem for Caccioppoli sets

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M3 - Article

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JF - Annali di Matematica Pura ed Applicata

SN - 0373-3114

IS - 4

ER -

Capillary surfaces and floating bodies

Abstract

Keywords

ASJC Scopus subject areas

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