Special Session 134: Recent advances in wavelet analysis, PDEs and dynamical systems - part II

Global existence for the 2D Kuramoto-Sivashinsky equation

Anna L Mazzucato
Penn State University
USA
Co-Author(s):    David Ambrose
Abstract:
I will present recent results concerning global existence for the Kuramoto-Sivashinsky equation in 2 space dimensions in the presence of growing modes. The KSE is a model of long-wave instability in dissipative systems.