学术报告

Compressible Euler limit from Boltzmann equation with Maxwell-type boundary condition

发布人:发布时间: 2022-01-05

字体大小: 【小】 【中】 【大】

题目: Compressible Euler limit from Boltzmann equation with Maxwell-type boundary condition

 

报告人:罗益龙 副教授(华南理工大学)


时间:  202216日上午10:00-11:00


地点: 西大楼108报告厅


摘要:  In this talk, we will introduce the compressible Euler limit from the scaled Boltzmann equation with Maxwell-type boundary condition in half-space. Starting from the local-in-time classical solutions to the compressible Euler system with impermeable boundary condition in half-space, employing the coupled viscous layers and linear kinetic boundary layers, and taking the analytical tools in [Guo-Jang-Jiang-2010-CPAM] and some new boundary estimates both for Prandtl and Knudsen layers, we prove the local-in-time existence of Hilbert expansion type classical solutions to the scaled Boltzmann equation with Maxwell-type boundary condition. We will also illustrate how the accommodation coefficient affects the structures of the Prandtl layers. This work is joint with Prof. Ning Jiang and Shaojun Tang.


邀请人:栗付才 老师