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arxiv: 1103.4925 · v1 · pith:C2ZTLJRRnew · submitted 2011-03-25 · 🧮 math.AP

Selfsimilar solutions of the binormal flow and their stability

classification 🧮 math.AP
keywords selfsimilarsolutionsstabilitybinormalconcerningcubicequationevolution
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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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