Rate-Independence, Homogenization and Multiscaling
timetable:
Fri 16 Nov, 16:45 - 17:30, Sala Conferenze Centro De Giorgi
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Controls problems in the coefficients with a cost functional depending on the gradient
speaker: Juan Casado-Diaz (University of Sevilla)abstract: We study an optimal design problem consisting in mixing two anisotropic (electric or thermal) materials in order to minimize a cost functional depending on the gradient of the state. This type of problems has not a solution in general and then it is necessary to introduce a relaxed formulation. We prove that this relaxation is obtained by using composite materials, constructed via homogenization, and taking a particular extension of the cost functional to these new materials. We also obtain an integral representation of this relaxed cost functional.
timetable:
Fri 16 Nov, 16:45 - 17:30, Sala Conferenze Centro De Giorgi
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