50 citations · 80 across the 17 of their papers we have counts for
20 papers
Non-convex functionals penalizing simultaneous oscillations along two independent directions: structure of the defect measure
Michael Goldman, Benoît Merlet
We continue the analysis of a family of energies penalizing oscillations in oblique directions: they apply to functions with and vanish when $…
An exterior optimal transport problem
Jules Candau-Tilh, Michael Goldman, Benoît Merlet
This paper deals with a variant of the optimal transportation problem. Given f L 1 (R d , [0, 1]) and a cost function c C(R d x R d) of the form c(x, y) = k(y -- x), we…
A deformation theorem for tensor flat chains and applications (complement to ''Tensor rectifiable G-flat chains'')
Michael Goldman, Benoît Merlet
In this note we extend White's deformation theorem for G-flat chains to the setting of G-flat tensor chains. As a corollary we obtain that the groups of normal tensor chains identi…
Tensor rectifiable G-flat chains
Michael Goldman, Benoît Merlet
A rigidity result for normal rectifiable -chains in with coefficients in an Abelian normed group is established. Given some decompositions , $n=n_1+n_2…
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…
Analysis of a one dimensional energy dissipating free boundary model with nonlinear boundary conditions. Existence of weak solutions
Benoît Merlet, Juliette Venel, Antoine Zurek
This work is part of a general study on the long-term safety of the geological repository of nuclear wastes. A diffusion equation with a moving free boundary in one dimension is in…