Local and Global Parameterizations with Applications in Optimal Design
Speaker：Tiba Dan
Event Time：Date: December 4, 2025 Time: 15:00-16:00
Location：Venue: Room C105, Science Building 1 Zoom Meeting ID: 83402854927 Password: 185183
Lecture Content：
We present some special properties of classicalHamiltonian systems and iterated Hamiltonian systems in finite dimension,recently discussed in some works by the author and his collaborator, CornelMurea (Univ. Mulhouse, France).
One application is a new local representation ofmanifolds, using iterated Hamiltonian systems, in arbitrary dimension and co-dimension.It provides a constructive extension of the implicit functions theorem. Indimension two, under certain assumptions, the representation is global. Thisallows a complete treatment of the considered questions, in dimension two.
Combined with other arguments, a comprehensive approach to generalgeometric optimization problems associated to elliptic equations, is obtained.In dimension two, it reduces shape and topology optimization problems tooptimal control problems.Speaker Introduction:
TibaDan is a professor of Institute of Mathematics of the Romannian Academy. His researchinterests includes abstract optimization problems, shape optimization problems,optimal control problems, numerical approximation of optimization problems andso on. He is full member of the Academy of Romanian Scientists, and in2013-2020, he also is a member in the Mathematics Panel, European ResearchCouncil. Professor Dan holds positions on the editorial boards of multiplejournals and serves as a reviewer for them as well, has authored numerouspublications, including several books and over 150 research papers in leadinginternational mathematics journals, including Journal ofDifferential Equations, Inverse Problems, SIAM Journal on Control ofOptimization.