报告人:杨雄锋(上海交通大学数学科学学院)
报告题目:
Asymptotic Analysis of Transport Equation in Annulus
报告摘要:In this talk, I present the diffusive limit of neutron transport equation in non-convex domains, that is,we consider the diffusive limit of a steady neutron transport equation with ones-peed velocity in a two-dimensional annulus. A classical theorem in Bensoussan et al. (Publ Res Inst Math Sci 15:53–157, 1979) states that the solution can be approximated in L^{\infty} by the sum of the interior solution and Knudsen layer derived from Milne problem. However, this result was disproved in Wu and Guo (Commun Math Phys 336:1473–1553, 2015) in a plate via a different boundary layer expansion with geometric correction. The result provides a counterexample to Bensoussan et al.. It is a joint work with Yan Guo and Lei Wu.
报告时间:2017年12月1日(星期五)10:00-11:00
报告地点:科技楼南702