TY - JOUR
T1 - Capillary surfaces and floating bodies
AU - Bemelmans, Josef
AU - Galdi, Giovanni P.
AU - Kyed, Mads
PY - 2014/8
Y1 - 2014/8
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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U2 - 10.1007/s10231-013-0323-0
DO - 10.1007/s10231-013-0323-0
M3 - Article
AN - SCOPUS:84905099441
VL - 193
SP - 1185
EP - 1200
JO - Annali di Matematica Pura ed Applicata
JF - Annali di Matematica Pura ed Applicata
SN - 0373-3114
IS - 4
ER -