Off-campus UMass Amherst users: To download dissertations, please use the following link to log into our proxy server with your UMass Amherst user name and password.
Non-UMass Amherst users, please click the view more button below to purchase a copy of this dissertation from Proquest.
(Some titles may also be available free of charge in our Open Access Dissertation Collection, so please check there first.)
The mathematics of superfluid films
Abstract
A superfluid film flowing along the walls of a porous material can be modelled by a harmonic differential on a Riemann surface satisfying integrality conditions on its periods and residues. In this thesis, we investigate the formation of strings of circulation and the minimization of the total kinetic energy, relating them to the mixed Hodge structure of the surface punctured at the vortices and the associated mixed Hodge norm.
Subject Area
Mathematics
Recommended Citation
Black, Christine Petersen, "The mathematics of superfluid films" (1998). Doctoral Dissertations Available from Proquest. AAI9841840.
https://scholarworks.umass.edu/dissertations/AAI9841840