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Point vortices for inviscid generalized surface quasi-geostrophic models

Geldhauser, Carina LU orcid and Romito, Marco (2020) In Discrete and Continuous Dynamical Systems - Series B 25(7). p.2583-2606
Abstract

We give a rigorous proof of the validity of the point vortex description for a class of inviscid generalized surface quasi-geostrophic models on the whole plane.

Please use this url to cite or link to this publication:
author
and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Inviscid generalized surface quasi-geostrophic, Localization, Point vortex motion, Stability, Vortex approximation, Weak solutions
in
Discrete and Continuous Dynamical Systems - Series B
volume
25
issue
7
pages
24 pages
publisher
Amer Inst Mathematical Sciences
external identifiers
  • scopus:85083527601
ISSN
1531-3492
DOI
10.3934/dcdsb.2020023
language
English
LU publication?
no
additional info
Funding Information: 2010 Mathematics Subject Classification. Primary: 76B47, 76M23; Secondary: 76E20, 86A99. Key words and phrases. Inviscid generalized surface quasi-geostrophic, weak solutions, point vortex motion, vortex approximation, localization, stability. The first author was supported by Deutsche Forschungsgemeinschaft in the context of TU Dresden’s Institutional Strategy “The Synergetic University”. The second author acknowledges the partial support of the University of Pisa, through project PRA 2018_49. Publisher Copyright: © 2020 American Institute of Mathematical Sciences. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
id
53b3ea2b-3465-45f0-983b-ecda24471c0c
date added to LUP
2021-05-10 09:41:56
date last changed
2022-07-08 12:47:05
@article{53b3ea2b-3465-45f0-983b-ecda24471c0c,
  abstract     = {{<p>We give a rigorous proof of the validity of the point vortex description for a class of inviscid generalized surface quasi-geostrophic models on the whole plane.</p>}},
  author       = {{Geldhauser, Carina and Romito, Marco}},
  issn         = {{1531-3492}},
  keywords     = {{Inviscid generalized surface quasi-geostrophic; Localization; Point vortex motion; Stability; Vortex approximation; Weak solutions}},
  language     = {{eng}},
  month        = {{07}},
  number       = {{7}},
  pages        = {{2583--2606}},
  publisher    = {{Amer Inst Mathematical Sciences}},
  series       = {{Discrete and Continuous Dynamical Systems - Series B}},
  title        = {{Point vortices for inviscid generalized surface quasi-geostrophic models}},
  url          = {{http://dx.doi.org/10.3934/dcdsb.2020023}},
  doi          = {{10.3934/dcdsb.2020023}},
  volume       = {{25}},
  year         = {{2020}},
}