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 |
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Pages (from-to) | 1185-1200 |
Number of pages | 16 |
Journal | Annali di Matematica Pura ed Applicata |
Volume | 193 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2014 Aug |
Externally published | Yes |
Keywords
- Capillarity
- Variational problem for Caccioppoli sets
ASJC Scopus subject areas
- Applied Mathematics