Thin vortex tubes in the stationary Euler equation

Alberto Enciso[1]; Daniel Peralta-Salas[1]

  • [1] Instituto de Ciencias Matemáticas Consejo Superior de Investigaciones Científicas 28049 Madrid, Spain

Journées Équations aux dérivées partielles (2013)

  • Volume: 192, Issue: 1, page 1-13
  • ISSN: 0752-0360

Abstract

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In this paper we outline some recent results concerning the existence of steady solutions to the Euler equation in ℝ 3 with a prescribed set of (possibly knotted and linked) thin vortex tubes.

How to cite

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Enciso, Alberto, and Peralta-Salas, Daniel. "Thin vortex tubes in the stationary Euler equation." Journées Équations aux dérivées partielles 192.1 (2013): 1-13. <http://eudml.org/doc/275609>.

@article{Enciso2013,
abstract = {In this paper we outline some recent results concerning the existence of steady solutions to the Euler equation in $\mathbb\{R\}^3$ with a prescribed set of (possibly knotted and linked) thin vortex tubes.},
affiliation = {Instituto de Ciencias Matemáticas Consejo Superior de Investigaciones Científicas 28049 Madrid, Spain; Instituto de Ciencias Matemáticas Consejo Superior de Investigaciones Científicas 28049 Madrid, Spain},
author = {Enciso, Alberto, Peralta-Salas, Daniel},
journal = {Journées Équations aux dérivées partielles},
keywords = {level sets; Laplace equation; global approximation; Green function},
language = {eng},
number = {1},
pages = {1-13},
publisher = {Groupement de recherche 2434 du CNRS},
title = {Thin vortex tubes in the stationary Euler equation},
url = {http://eudml.org/doc/275609},
volume = {192},
year = {2013},
}

TY - JOUR
AU - Enciso, Alberto
AU - Peralta-Salas, Daniel
TI - Thin vortex tubes in the stationary Euler equation
JO - Journées Équations aux dérivées partielles
PY - 2013
PB - Groupement de recherche 2434 du CNRS
VL - 192
IS - 1
SP - 1
EP - 13
AB - In this paper we outline some recent results concerning the existence of steady solutions to the Euler equation in $\mathbb{R}^3$ with a prescribed set of (possibly knotted and linked) thin vortex tubes.
LA - eng
KW - level sets; Laplace equation; global approximation; Green function
UR - http://eudml.org/doc/275609
ER -

References

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