40 citations · 154 across the 37 of their papers we have counts for
4 papers · 2 filters
Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions
Elisa Davoli, Manuel Friedrich
We establish a quantitative rigidity estimate for two-well frame-indifferent nonlinear energies, in the case in which the two wells have exactly one rank-one connection. Building u…
Analytical validation of the Yound-Dupré law for epitaxially-strained thin films
Elisa Davoli, Paolo Piovano
We present here an analysis of the regularity of minimizers of a variational model for epitaxially strained thin-films identified by the authors in the companion paper [Davoli E.,…
Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films
Marco Bonacini, Elisa Davoli, Marco Morandotti
An advective Cahn-Hilliard model motivated by thin film formation is studied in this paper. The one-dimensional evolution equation under consideration includes a transport term, wh…
Derivation of a heteroepitaxial thin-film model
Elisa Davoli, Paolo Piovano
A variational model for epitaxially-strained thin films on rigid substrates is derived both by Γ-convergence from a transition-layer setting, and by relaxation from a sharp-interfa…