Collisions of vortex filament pairs - Inria - Institut national de recherche en sciences et technologies du numérique
Article Dans Une Revue Journal of Nonlinear Science Année : 2014

Collisions of vortex filament pairs

Résumé

We consider the problem of collisions of vortex filaments for a model introduced by Klein, Majda and Damodaran, and Zakharov to describe the interaction of almost parallel vortex filaments in three-dimensional fluids. Since the results of Crow examples of collisions are searched as perturbations of antiparallel translating pairs of filaments, with initial perturbations related to the unstable mode of the linearized problem; most results are numerical calculations. In this article we first consider a related model for the evolution of pairs of filaments and we display another type of initial perturbation leading to collision in finite time. Moreover we give numerical evidence that it also leads to collision through the initial model. We finally study the self-similar solutions of the model.
Fichier principal
Vignette du fichier
Banica-Faou-Miot.pdf (853.26 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00948563 , version 1 (18-02-2014)

Identifiants

Citer

Valeria Banica, Erwan Faou, Evelyne Miot. Collisions of vortex filament pairs. Journal of Nonlinear Science, 2014, 24 (6), pp.1263-1284. ⟨10.1007/s00332-014-9218-5⟩. ⟨hal-00948563⟩
421 Consultations
196 Téléchargements

Altmetric

Partager

More