Journal of Nonlinear Mathematical Physics

Volume 16, Issue 2, June 2009, Pages 151 - 160

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

Authors
Chris Petersen Black
Department of Mathematics, Central Washington University, Ellensburg, WA USA 98926, USA,blackc@cwu.edu
Received 18 December 2007, Accepted 10 September 2008, Available Online 7 January 2021.
DOI
10.1142/S1402925109000157How to use a DOI?
Keywords
Superfluid helium; helium-4; kinetic energy; Riemann surface; mixed Hodge metric
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.

Copyright
© 2009 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
16 - 2
Pages
151 - 160
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925109000157How to use a DOI?
Copyright
© 2009 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Chris Petersen Black
PY  - 2021
DA  - 2021/01/07
TI  - An Approximation of the Kinetic Energy of a Superfluid Film on a Riemann Surface
JO  - Journal of Nonlinear Mathematical Physics
SP  - 151
EP  - 160
VL  - 16
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925109000157
DO  - 10.1142/S1402925109000157
ID  - Black2021
ER  -