Abstract for Anna Mazzucato

Anna Mazzucato (Pennsylvania State University)

Friday, March 31, 2023

Global existence for the 2D Kuramoto-Sivashinsky equation

Abstract: I will present recent results concerning global existence for the Kuramoto-Sivashinsky equation in 2 space dimensions with and without advection in the presence of growing modes. The KSE is a model of long-wave instability in dissipative systems. This is joint work with David Ambrose (Drexel), Michele Coti-Zelati (Imperial College), Michele Dolce (EPFL), and Yuanyuan Feng (East China Normal University).