In this paper we analyze the Euler implicit scheme for the volume preserving mean curvature flow. We prove the exponential convergence of the scheme to a finite union of disjoint balls with equal volume for any bounded initial set with finite perimeter.

Long time behavior of discrete volume preserving mean curvature flows / Morini, M.; Ponsiglione, M.; Spadaro, E.. - In: JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. - ISSN 0075-4102. - (2022). [10.1515/crelle-2021-0076]

Long time behavior of discrete volume preserving mean curvature flows

Morini M.;Ponsiglione M.;Spadaro E.
2022

Abstract

In this paper we analyze the Euler implicit scheme for the volume preserving mean curvature flow. We prove the exponential convergence of the scheme to a finite union of disjoint balls with equal volume for any bounded initial set with finite perimeter.
Long time behavior of discrete volume preserving mean curvature flows / Morini, M.; Ponsiglione, M.; Spadaro, E.. - In: JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. - ISSN 0075-4102. - (2022). [10.1515/crelle-2021-0076]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2915788
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact