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math.AP2024
Homogenization of elasto-plastic evolutions driven by the flow of dislocations
Paolo Bonicatto, Filip Rindler
Starting from a prototypical model of elasto-plasticity in the small-strain and quasi-static setting, where the evolution of the plastic distortion is driven exclusively by the mot…
math.AP2024
Local Poincaré constants and mean oscillation functionals for functions
Adolfo Arroyo-Rabasa, Paolo Bonicatto, Giacomo Del Nin
We introduce the concept of local Poincaré constant of a function as a tool to understand the relation between its mean oscillation and its total variation at small scales. Th…