Center for                           Nonlinear Analysis CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium Graca Carita University of E'vora Title: Dimensional reduction and relaxation for optimal design problems with a perimeter penalization Abstract: A $3D-2D$ dimension reduction for a nonlinear optimal design problem with a perimeter penalization and with superlinear growth is performed providing an integral representation for the limit energy.In the linear growth an integral representation in the space of functions of bounded variation is achieved. The presence of a perimeter penalization is also considered in order to avoid non existence of admissible solutions besides this leads to an interaction in the limit energy. More general models have been taken into account.This is a joint work with Elvira Zappale.Pdf File: CaritaGraca.pdfDate: Thursday, April 3, 2014Time: 1:30 pmLocation: Wean Hall 7218Submitted by:  David Kinderlehrer