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Collision of Almost Parallel Vortex Filaments

  • Published:2016-04-08 Issue:2 Volume:70 Page:378-405
  • ISSN:0010-3640
  • Container-title:Communications on Pure and Applied Mathematics
  • language:en
  • Short-container-title:Comm. Pure Appl. Math.

Author:

Banica Valeria1,Faou Erwan2,Miot Evelyne3

Affiliation:

1. Laboratoire de Mathématiques et de Modélisation d'Évry (UMR 8071); Université d'Évry; 23 Bd. de France 91037 Évry France

2. INRIA-Rennes Bretagne Atlantique and IRMAR (UMR 6625); Université de Rennes I; Campus de Beaulieu 35042 Rennes France

3. Centre de Mathématiques Laurent Schwartz (UMR 7640); École Polytechnique; 91128 Palaiseau France

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. Collisions of vortex filament pairs;Banica;J. Nonlinear Sci.,2014

2. Global existence and collisions for symmetric configurations of nearly parallel vortex filaments;Banica;Ann. Inst. H. Poincaré Anal. Non Linéaire,2012

3. Evolution, interaction and collisions of vortex filaments;Banica;Differential Integral Equations,2013

4. The initial value problem for the Binormal Flow with rough data;Banica;Ann. Sci. Éc. Norm. Supér.,2015

5. Stability theory for a pair of trailing vortices;Crow;AIAA J.,1970

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1. Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures;Journal of Nonlinear Science;2023-09-22

2. Dynamics of nearly parallel vortex filaments for the Gross–Pitaevskii equation;Calculus of Variations and Partial Differential Equations;2021-06-25

3. Standing Waves of Fixed Period for $$n+1$$ Vortex Filaments;Journal of Dynamics and Differential Equations;2019-06-04

4. Self-similar vortex reconnection;Comptes Rendus Mécanique;2019-04

5. Standing waves in a counter-rotating vortex filament pair;Journal of Differential Equations;2018-03
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