The fractional mean curvature flow
DOI:
https://doi.org/10.6092/issn.2240-2829/10576Parole chiave:
Fractional Perimeter, Fractional Mean Curvature Flows, Asymptotic behavior of solutionsAbstract
In questa nota, presentiamo alcuni risultati recenti riguardanti lo studio del moto per curvatura media frazionaria, che descrive l'evoluzione del bordo di un insieme la cui velocita è data dalla curvatura media frazionaria. Tale flusso ha natura nonlocale e presenta alcune interessanti differenze rispetto al flusso per curvatura media classica. Descriviamo i principali contributi in questo ambito, con particolare enfasi ai comportamente tipicamente nonlocali che sono in contrasto col caso classico.
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