2 dec 2015 -- 16:30
Aula Mancini, SNS, Pisa
Seminario di Matematica, Scuola Normale Superiore di Pisa
Abstract.
We construct solutions with finite and infinite type-II blow-up (and analyze their stability) in two related parabolic problems: the standard semilinear heat equation with a power nonlinearity at the critical exponent in a bounded domain in RN, and the harmonic map flow from a two-dimensional domain into the sphere S2. Both problems have stationary states with energy scaling-invariance in entire space which are the building blocks of the bubbling patterns.