50 citations · 80 across the 17 of their papers we have counts for
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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…
Uniform -regularity for almost-minimizers of some nonlocal perturbations of the perimeter
Michael Goldman, Benoît Merlet, Marc Pegon
In this paper, we establish a -regularity theorem for almost-minimizers of the functional , where and $P_{\vare…
Mathematical analysis of a thermodynamically consistent reduced model for iron corrosion
Clément Cancès, Claire Chainais-Hillairet, Benoît Merlet +2
We are interested in a reduced model for corrosion of iron, in which ferric cations and electrons evolve in a fixed oxide layer subject to a self-consistent electrostatic potential…