Geodesic
Variational approximation of interface energies and applications
Samuel Amstutz1 ; Daniel Gourion2 ; Mohammed Zabiba2
1Université d'Avignon and École Polytechnique, Palaiseau, France
2Université d'Avignon, France
Interfaces and free boundaries, Tome 23 (2021) no. 1, pp. 59-102

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DOI

Minimal partition problems consist in finding a partition of a domain into a given number of components in order to minimize a geometric criterion. In applicative fields such as image processing or continuum mechanics, it is standard to incorporate in this objective an interface energy that accounts for the lengths of the interfaces between components. The present work is focused on the theoretical and numerical treatment of minimal partition problems with such interface energies. The considered approach is based on a Γ-convergence approximation combined with convex analysis techniques.
DOI : 10.4171/ifb/450
Classification : 49-XX, 35-XX
Mots-clés : Interface energy, perimeter, Γ-convergence, surface tension, multiphase

Samuel Amstutz  1   ; Daniel Gourion  2   ; Mohammed Zabiba  2

1 Université d'Avignon and École Polytechnique, Palaiseau, France
2 Université d'Avignon, France 
Samuel Amstutz; Daniel Gourion; Mohammed Zabiba. Variational approximation of interface energies and applications. Interfaces and free boundaries, Tome 23 (2021) no. 1, pp. 59-102. doi: 10.4171/ifb/450
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     doi = {10.4171/ifb/450},
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