Mokameeting, Giuseppe Buttazzo, 30 Nov. 2016, 14h00

Mokameeting,Giuseppe Buttazzo, Pisa University

30 Nov. 2016, 14h00-15h30, Room A315, INRIA Paris

Title: Symmetry breaking for a problem in optimal insulation

Abstract: In the present talk we consider the problem of optimally insulating a given domain Omega of R^d; this amounts to solve a nonlinear variational problem, where the optimal thickness of the insulator is obtained as the boundary trace of the solution. We deal with two different criteria of optimization: the first one consists in the minimization of the total energy of the system, while the second one involves the first eigenvalue of the related differential operator. Surprisingly, the second optimization problem presents a symmetry breaking in the sense that for a ball the optimal thickness is nonsymmetric when the total amount of insulator is small enough. In the last section we discuss the shape optimization problem in which Omega is allowed to vary too.

References}

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