18 citations
- Laboratoire Paul PainlevéFR10 papers
- Université de LilleFR5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- CERMICSFR3 papers
- GIPSA-LabFR2 papers
- Institut national de recherche en sciences et technologies du numériqueFR2 papers
- Laboratoire Jacques-Louis LionsFR2 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR1 paper
- École nationale des ponts et chausséesFR1 paper
- École PolytechniqueFR1 paper
- ETH ZurichCH1 paper
- Imperial College LondonGB1 paper
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math.AP2022
Set-decomposition of normal rectifiable G-chains via an abstract decomposition principle
Michael Goldman, Benoît Merlet
We introduce the notion of set-decomposition of a normal G-flat chain. We show that any normal rectifiable -flat chain admits a decomposition in set-indecomposable sub-chains. T…
math.AP2017★ 5 cited
A Ginzburg-Landau model with topologically induced free discontinuities
Michael Goldman, Benoît Merlet, Vincent Millot
We study a variational model which combines features of the Ginzburg-Landau model in 2D and of the Mumford-Shah functional. As in the classical Ginzburg-Landau theory, a prescribed…