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/).
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 -