13-Moment System with Global Hyperbolicity for Quantum Gas
Prof. Ruo Li
School of Mathematical Sciences, Peking University

We point out that the quantum Grad's 13-moment system given by Yano is lack of global hyperbolicity, and even worse, the thermodynamic equilibrium is not an interior point of the hyperbolicity region of the system. To remedy this problem, we split Grad's expansion into the equilibrium part and the non-equilibrium part, and propose a regularization for the system. This provides us a new model which is hyperbolic for all admissible thermodynamic states, and meanwhile preserves the approximate accuracy of the original system. It should be noted that this procedure is not a trivial application of the theory we developed in 2015.

About the Speaker

李若, 北京大学数学科学学院教授、博士生导师。曾于北京大学获得学士学位(1996年)、硕士学位(1998年)以及博士学位(2001); 毕业后作为博士后在英国肯特大学开展研究工作。2003年进入北京大学数学科学学院任教, 先后担任讲师、副教授、教授; 2005-2007年期间分别在加州理工学院、香港浸会大学做访问学者。2013年杰出青年基金获得者, 2015年入选长江学者奖励计划特聘教授, 2017年冯康科学计算奖获得者。他的研究方向包括: 移动网格方法及其应用、最优控制问题的理论和算法以及应用流体计算等。

2018-08-21 10:00 AM
Room: A203 Meeting Room
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