Browsing Analysis of Partial Differential Equations (APDE) by Author "Banica, V."

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    • Evolution of Polygonal Lines by the Binormal Flow 

      Banica, V.; Vega, L.Autoridad BCAM (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 

      Banica, V.; Vega, L.Autoridad BCAM (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 ...