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math.AP2020
Duality arguments for linear elasticity problems with incompatible deformation fields
Adriana Garroni, Annalisa Malusa
We prove existence and uniqueness for solutions to equilibrium problems for free-standing, traction-free, non homogeneous crystals in the presence of plastic slips. Moreover we pro…
math.AP2019
Pairings between bounded divergence-measure vector fields and BV functions
Graziano Crasta, Virginia De Cicco, Annalisa Malusa
We introduce a family of pairings between a bounded divergence-measure vector field and a function of bounded variation, depending on the choice of the pointwise representative…
math.AP2017
Crystalline evolutions with rapidly oscillating forcing terms
Andrea Braides, Annalisa Malusa, Matteo Novaga
We consider the evolution by crystalline curvature of a planar set in a stratified medium, modeled by a periodic forcing term. We characterize the limit evolution law as the period…