Geldhauser, C. orcid.org/0000-0002-9997-6710 and Romito, M. (2019) The point vortex model for the Euler equation. AIMS Mathematics, 4 (3). pp. 534-575.
Abstract
In this article we describe the system of point vortices, derived by Helmholtz from the Euler equation, and their associated Gibbs measures. We discuss solution concepts and available results for systems of point vortices with deterministic and random circulations, and further generalizations of the point vortex model.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0). |
Keywords: | point vortex system; Euler equation; Gibbs measures; limit theorems and deviations; generalized SQG |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 26 Feb 2020 15:31 |
Last Modified: | 26 Feb 2020 19:34 |
Status: | Published |
Publisher: | American Institute of Mathematical Sciences (AIMS) |
Refereed: | Yes |
Identification Number: | 10.3934/math.2019.3.534 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:157308 |