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Topological Optimization and Optimal Transport by Filippo Santambrogio, Thierry Champion, Guillaume Carlier, Martin Rumpf, Édouard Oudet, Maïtine Bergounioux

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Elie Bretin and Simon Masnou

5 On a new phase field model for the approximation of interfacial energies of multiphase systems

Elie Bretin, Université de Lyon, CNRS UMR 5208, INSA de Lyon, Institut Camille Jordan, 20 Avenue Albert Einstein, F-69621 Villeurbanne Cedex, France, elie.bretin@insa-lyon.fr

Simon Masnou, Université de Lyon, CNRS UMR 5208, Université Lyon 1, Institut Camille Jordan, 43 boulevard du 11 novembre 1918, F-69622 Villeurbanne Cedex,masnou@math.univ-lyon1.fr

Abstract: This chapter is devoted to a new multiphase field approximation model for a category of interfacial energies of multiphase systems which appear in material sciences or image processing. Our model has several advantages when the surface tensions satisfy a suitable ...

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