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Pré-Publication, Document De Travail Année : 2009

A modified phase field approximation for mean curvature flow with conservation of the volume

Résumé

This paper is concerned with the motion of a time dependent hypersurface that evolves by mean curvature flow with a volume constraint. Phase field approximation of this motion leads to the well known nonlocal Allen--Cahn equation. Here we propose a modified version of this equation, and we show that it has better volume preserving properties than the classical one, even in the presence of an additional forcing term.

Dates et versions

hal-00749638 , version 1 (07-11-2012)
hal-00749638 , version 2 (03-09-2018)

Identifiants

Citer

Elie Bretin, Morgan Brassel. A modified phase field approximation for mean curvature flow with conservation of the volume. 2009. ⟨hal-00749638v1⟩
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