3 papers
math.AP2025
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…
math.AP2024
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.AP2024
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…