Perturbation at Blow Up of Self-Similar Solution for Modified Korteweg-de Vries Equation

Explore the dynamics of self-similar solutions in the modified Korteweg-de Vries equation (mKdV) through this 58-minute conference talk. Delve into the stability and perturbation of blowup dynamics for self-similar solutions of mKdV, presented by Raphaël Côte in collaboration with Simão Correia and Luis Vega. Gain insights into how mKdV serves as an asymptotic model for fluid dynamics and its connection to the formation of spirals and corners in vortex patches. This presentation was part of the Thematic Programme on "Nonlinear Waves and Relativity" held at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) from April 29 to June 21, 2024.