33 citations · 182 across the 46 of their papers we have counts for
5 papers · 2 filters
Continuum limit and stochastic homogenization of discrete ferromagnetic thin films
Andrea Braides, Marco Cicalese, Matthias Ruf
We study the discrete-to-continuum limit of ferromagnetic spin systems when the lattice spacing tends to zero. We assume that the atoms are part of a (maybe) non-periodic lattice c…
Static, quasistatic and dynamic analysis for scaled Perona-Malik functionals
Andrea Braides, Valerio Vallocchia
We present an asymptotic description of local minimization problems, and of quasi-static and dynamic evolutions of scaled Perona-Malik functionals. The scaling is chosen such that…
Asymptotic analysis of a ferromagnetic lattice spin system with diffuse interfacial energy
Andrea Braides, Andrea Causin, Margherita Solci
We give an example of a one-dimensional scalar spin energy with long-range interactions not satisfying standard decay conditions and which admits a continuum approximation defined…
Minimising movements for oscillating energies: the critical regime
Nadia Ansini, Andrea Braides, Johannes Zimmer
Minimising movements are investigated for an energy which is the superposition of a convex functional and fast small oscillations. Thus a minimising movement scheme involves a temp…
Minimizing movements along a sequence of functionals and curves of maximal slope
Andrea Braides, Maria Colombo, Massimo Gobbino +1
We prove that a general condition introduced by Colombo and Gobbino to study limits of curves of maximal slope allows also to characterize minimizing movements along a sequence of…