Selfsimilar solutions of the binormal flow and their stability

Details Selfsimilar solutions of the binormal flow and their stability Selfsimilar solutions of the binormal flow and their stability

2011-03-25

arxiv.org/abs/1103.4925v1

Mathematics

Analysis of PDEs

36 pages, survey to appear in Panoramas et Synth\`eses

Scientific paper

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.

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