Guy BOUCHITTE, Université de Toulon, About existence for optimal 1-rectifiable transports, Friday, May 08, 2009, time 11:00, Aula seminari Fausto Saleri, 6 piano

BORIS S. MORDUKHOVICH, Wayne State University, VARIATIONAL ANALYSIS VIA DISCRETE APPROXIMATIONS IN OPTIMAL CONTROL, Monday, May 04, 2009, time 17:00, Aula interna 3 piano
Abstract:Abstract:
In this talk we discuss recent advances in variational analysis and its applications in dynamic optimization models governed by nonconvex differential inclusions. Our approach is based on discrete approximations of differential systems and thus related to both numerical and theoretical issues in optimization and control. The main results justify stability of discrete approximations and establish necessary optimality conditions of the Euler and Hamiltonian types.

Jimmy LAMBOLEY, ENS Cachan, antenne de Bretagne, Shape optimization under convexity constraint, Tuesday, April 28, 2009, time 16:00, aula seminari VI piano
Abstract:Abstract:
The shape optimization is the study of optimization problems whose unknown is a domain of $ R^d$. I will focus on the case where admissibles shapes are required to be convex sets of $ R2$. Under this constraint, it is hard to write optimality conditions. In a first part, I will show how we can write such conditions (first and second order), and I will use these ones to exhibit a class of functionals which leads to polygonal optimal shapes (work with A. Novruzi). In a second part, I will focus on the minimization of the second eigenvalue for the Laplace operator (Dirichlet conditions), model problem which shows difficulties linked to convexity constraint, and also difficulties due to the regularity of optimal shapes. We particularly show that optimal shapes are C^{1,1/2} and no more, for this problem. I end with some links with partially overdetermined problems.

Franco Maddalena, Politecnico di Bari, Modelli variazionali per fenomeni di adesione, Wednesday, March 18, 2009, time 15:15, Aula IV piano
Abstract:Abstract:
Sunto: Si studiano alcuni approcci variazionali per la modellazione di fenomeni di adesione. Il tratto distintivo di tali problemi variazionali risiede nella presenza di differenti termini energetici interagenti anche a scale diverse. Tali problemi coinvolgono riduzioni di scala per energie elastiche e presenza di termini non locali.

Pierre Seppecher, Universite de Toulon, Realizable response matrices of multiterminal electrical, acoustic and elastodynamic networks at a given frequency, Wednesday, March 11, 2009, time 15:00, Aula Seminari III piano

Vittorino Pata, Politecnico di Milano, Regolarità degli attrattori globali, Wednesday, Febraury 18, 2009, time 15:30,