Wednesday, June 5, 2024 - 09:30 in V2-210/216
Low regularity well-posedness of the binormal flow
A talk in the Harmonic and Stochastic Analysis of Dispersive PDEs series by
Nikolay Tzvetkov from ENS Lyon
| Abstract: |
We focus on a class of solutions of the binormal flow, modelling the evolution of vortex filaments,
that generates several corner singularities in finite time. After proving a deterministic result,
we will also see how improvements can be obtained by a suitable randomization of the curvature
and torsion of the vortex filament. To do so, we will prove a scattering result for a quasi
invariant measure associated with a suitable 1D cubic nonlinear Schroedinger model that we
consider of independent interest. This is a joint work with V. Banica, R. Luca and L. Vega.
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