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The point vortex model for the Euler equation

Geldhauser, Carina LU orcid and Romito, Marco (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:
author
and
publishing date
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}},
}