Title: Vanishing porosity limit of the coupled Stokes-Brinkman system

Speaker:  Prof. Dongjuan Niu ( Capital Normal University )

Time: Tues, Dec.22 2020, AM: 09:00-10:00

Location: Tencent Conference

Meeting  Number: 727 245 843

Password: 2020

Inviter: Prof. Qingqing Liu

Abstract:

      In this talk, I will discuss with the small porosity asymptotic behavior of the coupled Stokes-Brinkman system in the presence of a curved interface between the Stokes region and the Brinkman region. In particular, we derive a set of approximate solutions, validated via rigorous analysis, to the coupled Stokes-Brinkman system. Of particular interest is that the approximate solution satisfies a generalized Beavers-Joseph-Saffman-Jones interface condition (1.9)with the constant of proportionality independent of the curvature of the interface. It is a joint work with Mingwen Fei and Xiaoming Wang.