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On the approximation of front propagation problems with nonlocalterms

Published online by Cambridge University Press:  15 April 2002

Pierre Cardaliaguet  and
Denis Pasquignon
Pierre Cardaliaguet
Affiliation:
Université de Bretagne Occidentale, Faculté des Sciences et Techniques, Département de Mathématiques, 6 Avenue Victor Le Gorgeu, BP 809 29285 Brest Cedex, France. (Pierre.Cardaliaguet@univ-brest.fr)
Denis Pasquignon
Affiliation:
Centre de recherche CEREMADE, Université Paris IX Dauphine, Place du Maréchal de Lattre de Tassigny, 75775 Paris Cedex 16, France. (pasquig@ceremade.dauphine.fr)
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Abstract

We investigate the approximation of the evolution of compact hypersurfaces of $\mathbb{R}^N$ depending, not only on terms of curvature of the surface, but also on non local terms such as the measure of the set enclosed by the surface.

Keywords

Front propagationthinning.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 3 , May 2001 , pp. 437 - 462
Copyright
© EDP Sciences, SMAI, 2001

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