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

被引：14

作者：

Wang, Shu ^{[1
]}

Jiang, Limin ^{[1
]}

Liu, Chundi ^{[1
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Ping Le Yuan 100, Beijing 100124, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 06期

关键词：

Quasineutral limit and Boundary layer; Incompressible Planck-Nernst-Poisson-Navier-Stokes equations; lambda-weighted entropy functional; DRIFT-DIFFUSION MODEL; SYSTEM; SEMICONDUCTORS;

D O I：

10.1016/j.jde.2019.04.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 lambda-weighted entropy functional coupled with multi-scaling approximating expansion techniques. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：3475 / 3523

页数：49

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