Differential and Integral Equations

Evolution, interaction and collisions of vortex filaments

Valeria Banica and Evelyne Miot

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Abstract

Progress has been made very recently on models for the dynamics of one or more vortex filaments in three-dimensional fluids. In this article we survey recent and previous results on this topic. We also present a collection of new situations of filaments collapse.

Article information

Source
Differential Integral Equations, Volume 26, Number 3/4 (2013), 355-388.

Dates
First available in Project Euclid: 5 February 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1360092828

Mathematical Reviews number (MathSciNet)
MR3059168

Zentralblatt MATH identifier
1289.76014

Subjects
Primary: 76B47: Vortex flows 35Q35: PDEs in connection with fluid mechanics 76B03: Existence, uniqueness, and regularity theory [See also 35Q35]

Citation

Banica, Valeria; Miot, Evelyne. Evolution, interaction and collisions of vortex filaments. Differential Integral Equations 26 (2013), no. 3/4, 355--388. https://projecteuclid.org/euclid.die/1360092828


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