PDE Seminar Abstracts

On blow-up for some nonlinear partial differential equations

Evgeny Galakhov
Friendship University of Russia, Moscow
Mon 10 December 2012 2-3pm, Carslaw Room 452

Abstract

We establish optimal sufficient conditions for blow-up of solutions to partial differential equations of various types, especially those with singular coefficients. The proofs are based on appropriate modifications of the method of nonlinear capacity. Some further applications of this method and related numerical experiments are also mentioned. The results are obtained jointly with Olga Salieva and Andrey Gulin.