学术报告报告题目：Justificationof Diffusion Limit for the Boltzmann Equation with a
Non-trivialProfile
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 diffusionscaling and a scaling assumption on the microscopic component, anon-classical fluid dynamic system was derivedby Bardos-Levermore-Ukai-Yang that is related to the system ofghost effect derived by Sone in different settings.The talkpresents a result to justify this limit system for a non-trivialbackground profile with slab symmetry. The result reveals not onlythe diffusion phenomena in the temperature and density, butalso the flow of higher order in Knudsen number due to the gradientof the temperature.
Precisely, we showthat the solution to the Boltzmann equation converges to adiffusion wave with decay rates in both Knudsen number andtime. This is a joint work with Feimin Huang, Yi Wang and Yong Wang.