The inviscid limit and well-posedness for the Euler-Nernst-Planck-Poisson system

被引：2

作者：

Zhang, Zeng ^{[1
,2
]}

Yin, Zhaoyang ^{[2
,3
]}

机构：

[1] Wuhan Univ Technol, Sch Sci, Wuhan, Hubei, Peoples R China

[2] Sun Yat Sen Univ, Dept Math, Guangzhou, Guangdong, Peoples R China

[3] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 02期

关键词：

The Euler-Nernst- Planck-Poisson system; the Navier-Stokes-Nernst-Planck-Poisson system; local well-posedness; blow-up; the inviscid limit; TIME BEHAVIOR;

D O I：

10.1080/00036811.2018.1489959

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we mainly study the Cauchy problem of the Euler-Nernst-Planck-Poisson (ENPP) system. We first establish local well-posedness for the Cauchy problem of the ENPP system in Besov spaces. Then we present a blow-up criterion of solutions to the ENPP system. Moreover, we prove that the solutions of the Navier-Stokes-Nernst-Planck-Poisson system converge to the solutions of the ENPP system as the viscosity nu goes to zero, and the convergence rate is at least of order v(1/2).

引用

页码：181 / 213

页数：33

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