5 citations · 5 across the 2 of their papers we have counts for
3 papers
math.AP2019
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…
math.AP2019
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…
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…