Special Session 178: Nonlinear Evolution Equations and Related Topics

Two-material optimal design problem for the heat equation
Tomoyuki Oka
Department of Intelligent Mechanical Engineering/Fukuoka Institute of Technology
Japan
Co-Author(s):    Kei Matsushima
Abstract:
In this talk, we consider a two-material optimal design problem for the time-averaged duality pairing between a heat source and the weak solution of an initial-boundary value problem for the heat equation with a two-material diffusion coefficient, under a volume constraint. From the viewpoint of optimality, we focus on the long-time behavior of solutions to the relaxed problem.