JournalsifbVol. 13, No. 3pp. 341–351

A phase-field approximation of the Willmore flow with volume constraint

  • Pierluigi Colli

    Università di Pavia, Italy
  • Philippe Laurençot

    Université de Toulouse, Toulouse, France
A phase-field approximation of the Willmore flow with volume constraint cover

Abstract

The well-posedness of a phase-field approximation to the Willmore flow with volume constraint is established. The existence proof relies on the underlying gradient flow structure of the problem: the time discrete approximation is solved by a variational minimization principle.

Cite this article

Pierluigi Colli, Philippe Laurençot, A phase-field approximation of the Willmore flow with volume constraint. Interfaces Free Bound. 13 (2011), no. 3, pp. 341–351

DOI 10.4171/IFB/261