5 papers
Geometric rigidity for incompatible fields in the multi-well case and an application to strain-gradient plasticity
Stefano Almi, Dario Reggiani, Francesco Solombrino
We derive a quantitative rigidity estimate for a multi-well problem in nonlinear elasticity with dislocations. Precisely, we show that the -distance of a possibly incomp…
A new example for the Lavrentiev phenomenon in Nonlinear Elasticity
Stefano Almi, Stefan Krömer, Anastasia Molchanova
We present a new example for the Lavrentiev phenomenon in context of nonlinear elasticity, caused by an interplay of the elastic energy's resistance to infinite compression and the…
Generalized bounded deformation in non-Euclidean settings
Stefano Almi, Emanuele Tasso
We introduce a new space of generalized functions of bounded deformation , made of functions u whose one-dimensional slice has bounded variation in a ge…
Optimal control problems in transport dynamics with additive noise
Stefano Almi, Marco Morandotti, Francesco Solombrino
Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one…
Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth
Stefano Almi, Dario Reggiani, Francesco Solombrino
A lower semicontinuity result and a relaxation formula for free discontinuity functionals with non-standard growth in the bulk energy are provided. Our analysis is based on a non-t…