Differential and Integral Equations

Evolution, interaction and collisions of vortex filaments

Valeria Banica and Evelyne Miot

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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

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

First available in Project Euclid: 5 February 2013

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


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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