The point vortex model for the Euler equation
(2019) In AIMS Mathematics 4(3). p.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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/b6f3dc50-5434-4368-a5ca-3ec0f8051666
- author
- Geldhauser, Carina LU and Romito, Marco
- publishing date
- 2019
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Euler equation, Generalized SQG, Gibbs measures, Limit theorems and deviations, Point vortex system
- in
- AIMS Mathematics
- volume
- 4
- issue
- 3
- pages
- 42 pages
- publisher
- AIMS Press
- external identifiers
-
- scopus:85075860910
- ISSN
- 2473-6988
- DOI
- 10.3934/math.2019.3.534
- language
- English
- LU publication?
- no
- id
- b6f3dc50-5434-4368-a5ca-3ec0f8051666
- date added to LUP
- 2021-02-08 12:07:03
- date last changed
- 2022-04-27 00:06:36
@article{b6f3dc50-5434-4368-a5ca-3ec0f8051666, abstract = {{<p>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.</p>}}, author = {{Geldhauser, Carina and Romito, Marco}}, issn = {{2473-6988}}, keywords = {{Euler equation; Generalized SQG; Gibbs measures; Limit theorems and deviations; Point vortex system}}, language = {{eng}}, number = {{3}}, pages = {{534--575}}, publisher = {{AIMS Press}}, series = {{AIMS Mathematics}}, title = {{The point vortex model for the Euler equation}}, url = {{http://dx.doi.org/10.3934/math.2019.3.534}}, doi = {{10.3934/math.2019.3.534}}, volume = {{4}}, year = {{2019}}, }