With the invitation of Professor Wan-Tong Li of the school of mathematics and statistics of Lanzhou University, Professor Shu Wang of College of Applied Sciences Beijing University of Technology, will visit our school from September 14, 2019 to September 17, 2019 to conduct academic exchanges and make an academic report.

Title：Quasi-neutral limit and the boundary layer problem of Planck-Nernst-Poisson-Navier-Stokes equations for electro-hydrodynamics

Time：4:00 p.m.，September 16, 2019

Place：Qiyun building, Room 911

Abstract: Quasi-neutral limit and the boundary layer problem of the two/three dimensional incompressible Planck-Nernst-Poisson-Navier-Stokes equations for electro hydrodynamics with the general mobilities of two kinds of charges and in the bounded domain is studied. For the generally smooth doping profile and the physical case that the mobilities of two kinds of charges is different, quasi-neutral limit with a subtle boundary layer structure is rigorously proved by constructing one new λ-weighted entropy functional coupled with multi-scaling approximating expansion techniques.

Provincial Key Laboratory of Applied Mathematics and Complex Systems, Gansu Province

School of Mathematics and Statistics

CuiyingHonors College

September 15, 2019