Perturbation at blow up of self similar solution for mKdV

Raphaël Côte (IRMA, Strasbourg)

May 14. 2024, 11:15 — 12:15

The modified Korteweg-de Vries equation (mKdV) is an asymptotic model for fluid dynamics, and its self-similar solutions are connected to the formation of spirals and corners in a vortex patch.
In this talk, I will present some joint works with Simão Correia (Lisbon) and Luis Vega (Bilbao) regarding stability and perturbation of the blowup dynamic of self-similar solutions of (mKdV).

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Nonlinear Waves and Relativity (Thematic Programme)
Organizer(s):
Roland Donninger (U of Vienna)
David Fajman (U of Vienna)
Birgit Schörkhuber (U of Innsbruck)