Curves and Networks in Geometric Analysis
timetable:
Fri 30 Jun, 9:10 - 10:00, Aula Dini
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On the consistency of a BMO-type scheme and convexity preservation for a fractional mean curvature flow
speaker: Berardo Ruffini (Università di Bologna)abstract: In this talk we will define a class of mean curvature flows, where the curvature is replaced by its non-local conterpart, which will be introduced as well. We will then introduce an appropriate Bence-Merriman-Osher (BMO) approximation scheme for the flow, showing that it is consistent even if we work in an anisotropic setting. This, together with some tools borrowed from the theory of convex bodies, allow us to show that the scheme, and thus the flow, is convexity preserving. Eventually we will state some open issues. The talk is based on a joint work with A. Chambolle and M. Novaga.
timetable:
Fri 30 Jun, 9:10 - 10:00, Aula Dini
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