关于举行香港城市大学杨彤教授学术报告的通知

报告题目：Justification of Diffusion Limit for the Boltzmann Equation with a

           Non-trivial Profile

报 告 人：杨彤教授（香港城市大学）

报告时间：10月8日 （周四） 下午16:30-18:00

报告地点：4号楼4318室

      欢迎广大师生前往!

                                                       数学学院

                          2015年10月2日

报告摘要:

Under the diffusion scaling and a scaling assumption on the microscopic component, a non-classical fluid dynamic system was derived by Bardos-Levermore-Ukai-Yang that is related to the system of ghost effect derived by Sone  in different settings.The talk presents a result to justify this limit system for a non-trivial background profile with slab symmetry. The result reveals not only the  diffusion phenomena in the temperature and density, but also the flow of higher order in Knudsen number due to the gradient of the temperature.

    Precisely, we show that the solution to the Boltzmann equation  converges to a diffusion wave with  decay rates in both Knudsen number and time. This is a joint work with Feimin Huang, Yi Wang and Yong Wang.