In this note, we present some recent results in the study of the fractional mean curvature flow, that is a geometric evolution of the boundary of a set whose speed is given by the fractional mean curvature. The flow under consideration is of nonlocal type and presents several interesting difference with respect to the classical mean curvature flow. We will describe the main contributions in this field, with particular emphasis on some tipically nonlocal behaviors which are in contrast with the classical local case.

Cinti, E. (2020). THE FRACTIONAL MEAN CURVATURE FLOW - IL FLUSSO PER CURVATURA MEDIA FRAZIONARIA. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 11(1), 18-43 [10.6092/issn.2240-2829/10576].

THE FRACTIONAL MEAN CURVATURE FLOW - IL FLUSSO PER CURVATURA MEDIA FRAZIONARIA

Cinti, E
2020

Abstract

In this note, we present some recent results in the study of the fractional mean curvature flow, that is a geometric evolution of the boundary of a set whose speed is given by the fractional mean curvature. The flow under consideration is of nonlocal type and presents several interesting difference with respect to the classical mean curvature flow. We will describe the main contributions in this field, with particular emphasis on some tipically nonlocal behaviors which are in contrast with the classical local case.
2020
Cinti, E. (2020). THE FRACTIONAL MEAN CURVATURE FLOW - IL FLUSSO PER CURVATURA MEDIA FRAZIONARIA. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 11(1), 18-43 [10.6092/issn.2240-2829/10576].
Cinti, E
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/763377
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