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math.AP2020
An optimization problem in thermal insulation with Robin boundary conditions
Francesco Della Pietra, Carlo Nitsch, Riccardo Scala +1
We study thermal insulating of a bounded body . Under a prescribed heat source , we consider a model of heat transfer between and the environmen…
math.AP2020
Existence, energy identity and higher time regularity of solutions to a dynamic visco-elastic cohesive interface model
Matteo Negri, Riccardo Scala
We study the dynamics of visco-elastic materials coupled by a common cohesive interface (or, equivalently, {two single domains separated by} a prescribed cohesive crack) in the ant…
math.AP2020
Nonlinear three-dimensional derivation of line tension for dislocations: quadratic growth
Adriana Garroni, Roberta Marziani, Riccardo Scala
In this paper we derive a line tension model for dislocations in 3d starting from a geometrically nonlinear elastic energy with quadratic growth. In the asymptotic analysis, as the…