报告题目：Green's Function and Pointwise Space-time Behaviors of the 3-D Relativistic Boltzmann Equation

报告人：钟明溁教授（广西大学）

时间：11月15日（周五）16:30-17:30

地点：澳门新葡京娱乐城 425

摘要：The pointwise space-time behavior of the Green's function of the three-dimensional relativistic Boltzmann equation is studied in this paper. It is shown that the Green's function has a decomposition of the macroscopic diffusive waves and Huygens waves with the speed $\sqrt{a^2+b^2}$ at low-frequency, the singular kinetic wave and the remainder term decaying exponentially in space and time. In addition, we establish the pointwise space-time estimate of the global solution to the nonlinear relativistic Boltzmann equation with non-smooth initial data based on the Green's function.

报告人简介：钟明溁，广西大学数学与信息科学学院教授，博士生导师，被聘为广西大学君武学者。主要从事kinetic方程的数学理论研究，涉及带外力场的kinetic方程的谱分析、格林函数、解的大时间行为以及流体动力学极限等。至今发表论文十多篇，部分成果发表于Arch. Ration. Mech. Anal.,SIAM J. Math. Anal.等国际著名期刊。曾获得国家自然科学基金委员会优秀青年科学基金的资助。