3 papers
math.AP2024
Interacting phase fields yielding phase separation on surfaces
Benjamin Lledos, Roberta Marziani, Heiner Olbermann
In the present article we study diffuse interface models for two-phase biomembranes. We will do so by starting off with a diffuse interface model on defined by two c…
math.AP2022
Line-tension limits for line singularities and application to the mixed-growth case
Sergio Conti, Adriana Garroni, Roberta Marziani
We study variational models for dislocations in three dimensions in the line-tension scaling. We present a unified approach which allows to treat energies with subquadratic growth…
math.AP2022
-convergence and stochastic homogenisation of phase-transition functionals
Roberta Marziani
In this paper we studythe asymptotics of singularly perturbed phase-transition functionals of the form \[ F_k(u)=\frac{1}{ε_k}\int_A f_k(x,u,ε_k\nabla u)\,dx\,, \] where $u \in [0,…