Organizer

Victor A. Kovtunenko (University of Graz, Austria), victor.kovtunenko@uni-graz.at

Co-Organizers

Hiromichi Itou (Tokyo University of Science, Department of Mathematics, Japan), h-itou@rs.tus.ac.jp

Alexandr M. Khludnev (Novosibirsk State University, Department of Mathematics and Mechanics, and Lavrentyev Institute of Hydrodynamics SB RAS, Russia), khlud@hydro.nsc.ru

Evgeny M. Rudoy (Novosibirsk State University, Department of Mathematics and Mechanics, and Lavrentyev Institute of Hydrodynamics SB RAS, Russia), rem@hydro.nsc.ru

Description

Mathematical methods based on the variational approach are successfully used in a broad range of applications, especially those fields that are oriented on partial differential equations (PDEs).

Our problem area addresses a class of nonlinear variational problems described by all kinds of dynamic and static PDEs, inverse and ill-posed problems, nonsmooth and nonconvex optimization, and optimal control including shape and topology optimization. Within these directions, we focus but are not limited to singular and unilaterally constrained problems arising in mechanics, which are governed by complex systems of generalized variational equations and inequalities.

While standard mathematical tools are not applicable here, we aim at a non-standard well-posedness analysis, asymptotic and approximation techniques including homogenization, which are successful within the primal as well as the dual variational formalism.

In a broad scope, the minisymposium objectives are directed toward advances that are attained in the mathematical theory of nonsmooth variational problems, its numerical computation and application to engineering sciences.

**Research area:** Calculus of variations and optimal control; optimization - 35-xx, 49-xx, 74-xx