主 讲 人 ：Tiba Dan    教授

活动时间：2025-12-04 15:00:00

地      点 ：理科1号楼C105 Zoom会议号：83402854927， 密码: 185183

主办单位：数学科学学院

讲座内容：

We present some special properties of classical Hamiltonian systems and iterated Hamiltonian systems in finite dimension, recently discussed in some works by the author and his collaborator, Cornel Murea (Univ. Mulhouse, France).

One application is a new local representation of manifolds, using iterated Hamiltonian systems, in arbitrary dimension and co-dimension. It provides a constructive extension of the implicit functions theorem. In dimension two, under certain assumptions, the representation is global. This allows a complete treatment of the considered questions, in dimension two.

Combined with other arguments, a comprehensive approach to general geometric optimization problems associated to elliptic equations, is obtained. In dimension two, it reduces shape and topology optimization problems to optimal control problems.

主讲人介绍：

Tiba Dan is a professor of Institute of Mathematics of the Romannian Academy. His research interests includes abstract optimization problems, shape optimization problems, optimal control problems, numerical approximation of optimization problems and so on. He is full member of the Academy of Romanian Scientists, and in 2013-2020, he also is a member in the Mathematics Panel, European Research Council. Professor Dan holds positions on the editorial boards of multiple journals and serves as a reviewer for them as well, has authored numerous publications, including several books and over 150 research papers in leading international mathematics journals, including Journal of Differential Equations, Inverse Problems, SIAM Journal on Control of Optimization.