主持人：朱升峰 教授

报告内容简介：
We consider the shape optimization problem with a domain in three spatial dimensions and the shape functional is defined for the system of PDEs defined in the domain. The system of equations describes e.g., an elastic structure and the cost is its weight. The mathematical analysis of the optimization problem contains the following elements: 1. The existence of optimal shape; 2. The shape differentiability; 3. The topological differentiability; 4. The necessary conditions for optimality; 5. The convergence of numerical methods of solution. The examples are given for the elasticity system, the compressible Navier-Stokes equations, and the networks on metric graphs.

报告人简介：
Jan Sokolowski教授任职于法国洛林大学和波兰科学院，1975年在波兰科学院获博士学位。Jan Sokolowski教授在力学中的形状优化与拓扑优化方面做了开创性和系统性的工作，特别是形状及拓扑灵敏度分析的研究；发表学术论文200多篇，出版专著6部。