Abstract/Details

The mathematics of superfluid films


1998 1998

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Abstract (summary)

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.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences, Harmonic differentials, Mixed Hodge structure, Porous media, Superfluid films
Title
The mathematics of superfluid films
Author
Black, Christine Petersen
Number of pages
81
Publication year
1998
Degree date
1998
School code
0118
Source
DAI-B 59/07, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780591960204, 0591960206
Advisor
Kaplan, Aroldo
University/institution
University of Massachusetts Amherst
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9841840
ProQuest document ID
304437936
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304437936
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