5 citations · 5 across the 2 of their papers we have counts for
4 papers · 1 filter
Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates
Michael Goldman, B. Merlet
We study a family of non-convex functionals on the space of measurable functions. T…
Stochastic homogenization of the Landau-Lifshitz-Gilbert equation
François Alouges, Anne De Bouard, Benoît Merlet +1
Following the ideas of V. V. Zhikov and A. L. Pyatnitski, and more precisely the stochastic two-scale convergence, this paper establishes a homogenization theorem in a stochastic s…
Strong approximation in h-mass of rectifiable currents under homological constraint
Antonin Chambolle, Luca Alberto Davide Ferrari, Benoït Merlet
Let h : R R+ be a lower semi-continuous subbadditive and even function such that h(0) = 0 and h() || for some > 0. The h-mass of a k-polyhedral cha…
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…