Finite Point Blowup for the Critical Generalized Korteweg-de Vries Equation

Explore the groundbreaking research on finite point blowup for the critical generalized Korteweg-de Vries equation in this 40-minute conference talk by Didier Pilod at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the significant advances made in studying blow-up phenomena for the critical gKdV equation over the past two decades. Discover the recent breakthrough in constructing solutions that blow up in finite time, concentrating the ground state at a finite point with an unprecedented blow-up rate. Learn about the implications of this discovery for understanding possible blow-up rates in the equation. Gain insights from the joint work of Didier Pilod and Yvan Martel, presented as part of the Thematic Programme on "Nonlinear Waves and Relativity" at ESI.

Didier Pilod - Finite point blowup for the critical generalized Korteweg-de Vries equation