Title： Justification of Diffusion Limit for the Boltzmann Equation with a Non-trivial Profile

Speaker：Prof. Tong Yang（City University of Hong Kong）

Time：16:30-18:00 P.M.Oct 8, 2015

Location：Room 4318, Building No.4, Wushan Campus

Abstract: 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 Sonein 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 thediffusion 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 equationconverges to a diffusion wave withdecay rates in both Knudsen number and time. This is a joint work with Feimin Huang, Yi Wang and Yong Wang.