Browsing Linear and Non-Linear Waves by Subject "Vortex filaments"
Now showing items 1-3 of 3
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Evolution of Polygonal Lines by the Binormal Flow
(2020-02-05)The aim of this paper is threefold. First we display solutions of the cubic nonlinear Schr ̈odinger equation on R in link with initial data a sum of Dirac masses. Secondly we show a Talbot effect for the same equation. ... -
Evolution of Polygonal Lines by the Binormal Flow
(2020-06-01)The aim of this paper is threefold. First we display solutions of the cubic nonlinear Schrödinger equation on R in link with initial data a sum of Dirac masses. Secondly we show a Talbot effect for the same equation. Finally ... -
On the energy of critical solutions of the binormal flow
(2020-07-02)The binormal flow is a model for the dynamics of a vortex filament in a 3-D inviscid incompressible fluid. The flow is also related with the classical continuous Heisenberg model in ferromagnetism, and the 1-D cubic ...