Cahn and Hilliard fluid on an oscillating boundary
G.Bouchitté and P.Seppecher
Motion by Mean Curvature,
de Gruyter Ed., p. 23-42, 1992.
Résumé
A Cahn and Hilliard fluid is in equilibrium in a solid container. The
rugosity
of the boundaries is taken into account through the assumption of an
oscillating
boundary whose period and amplitude are of the same order of magnitude
as the thickness of the interface. We study the Gamma-limit of this
problem
when this length tends to zero. We obtain a homogenized boundary energy
and we show that rugosity may modify the wetting property of the wall
until
it is completely wet.