Selfsimilar solutions of the binormal flow and their stability
Abstract
We review some recent results concerning the evolution of a vortex filament and its relation to the cubic non-linear Schrödinger equation. Selfsimilar solutions and questions related to their stability are studied.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2011
- DOI:
- 10.48550/arXiv.1103.4925
- arXiv:
- arXiv:1103.4925
- Bibcode:
- 2011arXiv1103.4925B
- Keywords:
-
- Mathematics - Analysis of PDEs
- E-Print:
- 36 pages, survey to appear in Panoramas et Synth\`eses