PDE Seminar Abstracts

Bubbling singularities along a 2D heat flow with exponential nonlinearity

Frédéric Robert
Institut Élie Cartan, Nancy
22 Nov 2010, 3-4pm, Carslaw Room 352

Abstract

Let Ω2 be a smooth bounded domain. We consider solutions to the flow

eu2tu-Δxu=λ(t)ueu2,

where u:[0,)×Ω satisfies the Dirichlet boundary conditions and where the L1-norm of eu2 is preserved. In this talk, we will describe the singularities arising potentially along this flow. (Joint work with T. Lamm and M. Struwe.)