Some recent results in the study of fractional mean curvature flow

Supervisor
Eleonora Cinti - Università di Bologna
Date and time
Thursday, November 7, 2019 at 3:30 PM - Sala Riunioni II Piano - Ca' Vignal 2
Programme Director
External reference
Publication date
November 3, 2019
Department
Computer Science  

Summary

We study a geometric flow driven by the fractional mean curvature (FMC). The notion of fractional mean curvature arises naturally when performing the first variation of the fractional perimeter functional.  Our results concern, on one side, the formation of neckpinch singularities for the standard FMC flow and, on the other side, some a priori estimates and convergence to a sphere for the volume preserving case.  This is a joint work with C. Sinestrari and E. Valdinoci.

Contact Person: 
Virginia Agostiniani





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