Events
17 Febbraio, 2012 11:00
Seminario Matematico e Fisico di Milano
EVOLUTION OF DOMAINS BY SPECTRAL FLOWS
GIUSEPPE BUTTAZZO, Università di Pisa, Dipartimento di Matematica
Politecnico di Milano, Dipartimento di Matematica, aula VII piano
Abstract
We consider a general formulation of the domain evolution by means of gradient flows, obtained through the minimizing movements procedure, which
has its natural framework in the metric spaces setting. The functionals which govern the evolutions are of spectral type, involving the
eigenvalues of the Laplace operator with Dirichlet boundary conditions. Several dissipation distances are considered and the phenomenon of occurrence of relaxed capacitary measures during the evolution is discussed.
Mathematical Seminars
Politecnico di Milano
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