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arXiv:1103.4925 [math.AP]AbstractReferencesReviewsResources

Selfsimilar solutions of the binormal flow and their stability

Valeria Banica, Luis Vega

Published 2011-03-25Version 1

We review some recent results concerning the evolution of a vortex filament and its relation to the cubic non-linear Schr\"odinger equation. Selfsimilar solutions and questions related to their stability are studied.

Comments: 36 pages, survey to appear in Panoramas et Synth\`eses
Categories: math.AP
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