主持人：郑海标

报告摘要：
The first-order hyperbolic relaxation system is a class of time-dependent partial differential equations which model various non-equilibrium phenomena. For such systems, the main interest is to understand the zero relaxation limit. The initial-value problem for the relaxation system has been well-developed and a systematical framework has been built. However, the initial-boundary value problem of the relaxation system is still in the developing stage. In this talk, I will first introduce the theory of boundary conditions for general relaxation systems. Then I will present the recent results for the initial-boundary-value problem with characteristic boundaries. Specifically, we redefine a characteristic Generalized Kreiss condition (GKC) which is essentially necessary to have a well-behaved relaxation limit. Under this characteristic GKC and a Shizuta-Kawashima-like condition, we derive reduced boundary conditions for the relaxation limit solving the corresponding equilibrium systems and justify the validity.

报告人简介：
周一舟，清华大学博士，师从雍稳安；北京大学博雅博士后，合作导师：李若；亚琛工业大学(RWTH Aachen University)，洪堡学者，博士后，合作导师：Prof. Dr. Michael Herty。主要研究方向：双曲松弛系统的理论、计算与建模；基于机器学习的数学模型；微分方程约束的最优控制问题。