Calculus of Variations and Geometric Measure Theory
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Bubbling blow-up in critical parabolic problems

Manuel Del Pino (Universidad de Chile)

created by malchiodi on 23 Nov 2015

2 dec 2015 -- 16:30   [open in google calendar]

Scuola Normale Superiore, Aula Mancini

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.

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