An Approximation of the Kinetic Energy of a Superfluid Film on a Riemann Surface

Document Type

Article

Department or Administrative Unit

Mathematics

Publication Date

2009

Abstract

The flow of a superfluid film adsorbed on a porous medium can be modeled by a meromorphic differential on a Riemann surface of high genus. In this paper, we define the mixed Hodge metric of meromorphic differentials on a Riemann surface and justify using this metric to approximate the kinetic energy of a superfluid film flowing on a porous surface.

Comments

This article was originally published in Journal of Nonlinear Mathematical Physics. The full-text article from the publisher can be found here.

Due to copyright restrictions, this article is not available for free download from ScholarWorks @ CWU.

Journal

Journal of Nonlinear Mathematical Physics

Copyright

© C. P. Black

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