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


Let Ω 2 be a smooth bounded domain. We consider solutions to the flow

eu2 tu - 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.)