The correlation coefficient for vortices in the plane

Kurzke, Matthias

Abstract

For point vortices in the plane, we consider the correlation coefficient of Ovchinnikov and Sigal. Generalising a result by Esposito, we show that it vanishes for all vortex equilibria.

Citation

Kurzke, M. (2019). The correlation coefficient for vortices in the plane. Journal of Mathematical Analysis and Applications, 479(1), 333-336. https://doi.org/10.1016/j.jmaa.2019.06.029

• Journal Article Type: Article
• Acceptance Date: Jun 10, 2019
• Online Publication Date: Jun 12, 2019
• Publication Date: Nov 1, 2019
• Deposit Date: Oct 22, 2018
• Publicly Available Date: Jun 13, 2020
• Journal: Journal of Mathematical Analysis and Applications
• Print ISSN: 0022-247X
• Electronic ISSN: 1096-0813
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 479
• Issue: 1
• Pages: 333-336
• DOI: https://doi.org/10.1016/j.jmaa.2019.06.029
• Keywords: Point vortices; Kirchhoff-Onsager functional
• Public URL: https://nottingham-repository.worktribe.com/output/1179574
• Publisher URL: https://www.sciencedirect.com/science/article/pii/S0022247X19305037
• Additional Information: This article is maintained by: Elsevier; Article Title: The correlation coefficient for vortices in the plane; Journal Title: Journal of Mathematical Analysis and Applications; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.jmaa.2019.06.029; Content Type: article; Copyright: © 2019 Elsevier Inc. All rights reserved.