The variational problem for a certain space-time functional defined on planar closed curves

Mercoledi' 20 Febbraio 2013 - Shinya Okabe

ARGOMENTI: Seminari

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Mercoledi' 20 Febbraio 2013 alle ore 12:15 in aula 1BC45, Shinya Okabe (Tohoku University, Giappone) terra' un seminario dal titolo "The variational problem for a certain space-time functional defined on planar closed curves".

-Abstract
We consider a variational problem for a certain space-time functional defined on planar closed curves. The functional is appeared in the action minimization problem for a stochastic Allen-Cahn equation. The variational problem is stated as follows: Let Gamma_0 and Gamma_1 be given planar closed curves and T be a given positive constant. Then minimize the space-time functional over families of planar closed curves, which change from Gamma_0 to Gamma_1 in time T." In this talk, we focus on an existence of non-radially symmetric critical point of the variational problem, in particular a solvability of an initial final value problem.

Rif. int. M. Bardi, C. Marchi, M. Novaga