Martedì 18 Dicembre 2018, alle ore 15 precise, presso la sala conferenze dell’IMATI-CNR di Pavia, la

Dr. Elisa Davoli, Università di Vienna

terrà un seminario dal titolo:

Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions

nell'ambito del Seminario di Matematica Applicata (IMATI-CNR e Dipartimento di Matematica, Pavia),

Al termine della conferenza sarà organizzato un piccolo rinfresco.


Abstract. In this talk we establish a quantitative rigidity estimate for two-well frame-indifferent nonlinear energies, in the case in which the two wells have exactly one rank-one connection. Building upon this novel rigidity result, we then analyze solid-solid phase transitions in any arbitrary space dimensions, under a suitable anisotropic penalization of second variations. By means of Gamma-convergence, we show that, as the size of transition layers tend to zero, singularly perturbed two-well problems approach an effective sharp-interface model. The limiting energy is finite only for deformations which have the structure of a laminate. In this case, it is proportional to the size of the interfaces between the two phases.