讲座题目: A theory of mathematical modeling



报告时间:2020年10月30日(周五)下午(14:30—15: 30)

报告地点: 长江大学东校区8教406

专家简介:Prof. Wen-An Yong(雍稳安教授) is an applied mathematician. He received his from the Sun Yat-Sen University in 1984, his Ms.S. degree from the Chinese Academy of Sciences in 1987, and his Dr.rer.nat. (1992) and Habilitation (2005)both from the University of Heidelberg (Germany). Since the end of 2005, he has worked at the Tsinghua University. His research interests cover applied partial diferential equations and numerical methods. In recent years, his research focuses mainly on stability criteria for non-equilibrium thermodynamics, with applications to viscoelastic fluid flows, chemical kinetics, chemical engineering, geophysics, kinetic theory, the lattice Boltzmann method, and so on. He was a member of the international Scientific Advisory Board for UKCOMES (英国介观工程科学联盟).

摘要:In this talk I will introduce a general theory of mathematical modeling for irreversible processes. By mathematical modeling, I mean to establish some relations among the apparently unrelated time-space functions characterizing a given non-equilibrium thermodynamic system. This theory is initiated with an observation that many classical mathematical models (hyperbolic PDEs) share certain common properties. Because of this, it is natural to require the constructed models to possess the properties when modeling an irreversible phenomenon with PDEs. Models constructed with this theory are hyperbolic balance laws and fulfill some fundamental requirements.