主讲人:Professor
Taiping Liu
单位:The Department
of Mathematics Stanford University
时间:2015年4月14日(星期二)上午10:30
地点:西北大学太白校区非线性科学研究中心学术报告厅
报告摘要: We
focus the aspect of Hilbert Sixth Problem concerning the kinetic theory for gases.
There are two parts to this Problem. The first part is the derivation of the
Boltzmann equation from the Newtonian interacting particle systems, and the
second part concerns the relation between the Blotzmann equation and the fluid
dynamics. Both involves some form of averaging. The derivation of the Boltzmann
equation is both philosophically and mathematically challenging and is
historically important. For instance, it is not clear how the probabilistic
element comes in and the scaling involved in the averaging is very subtle. The
relation between the Boltzmann equation and the fluid dynamics is a rich
subject. The relation between the Blotzmann equation is known to be able to
explain observed phenomena that the traditional fluid equations such as
Navier-Stokes cannot. We will discuss these topics, survey the recent
progresses and raise open problems.
报告人简介:
刘太平,1968年台湾大学数学系毕业,1973年美国密西根大学数学所博士,曾任美国斯坦福大学数学系教授,现任台湾中央研究院数学研究所特聘研究员兼所长,专长包含非线性偏微分方程、震波理论及动力学方程。刘太平是世界范围内守恒律方程组研究领域的领袖人物之一,是每二年举行的有广泛国际影响的该领域顶尖国际双曲会议的核心人物。1992年获中国台湾中科院院士, 2000年起为台湾中央研究院数学研究所所长。在2002年北京举办的国际数学家大会上做过45分钟邀请报告。
欢迎各位师生参加!