Showing math.APShow all
3 papers · 1 filter
math.AP2024
Solutions for a free-boundary problem modeling multilayer films with coherent and incoherent interfaces
Randy Llerena, Paolo Piovano
In this paper we introduce a variational model for the study of multilayer films that allows for the treatment of both coherent and incoherent interfaces between layers. The model…
math.AP2023
Existence of minimizers for a two-phase free boundary problem with coherent and incoherent interfaces
Randy Llerena, Paolo Piovano
A variational model for describing the morphology of two-phase continua by allowing for the interplay between coherent and incoherent interfaces is introduced. Coherent interfaces…
math.AP2022
Mixed boundary conditions as limits of dissipative boundary conditions in dynamic perfect plasticity
Jean-François Babadjian, Randy Llerena
This paper addresses the well posedness of a dynamical model of perfect plasticity with mixed boundary conditions for general closed and convex elasticity sets. The proof relies on…