Global Large Solutions to the Navier-Stokes-Nernst-Planck-Poisson Equations

被引：10

作者：

Ma, Haitao ^{[1
]}

机构：

[1] South China Univ Technol, Guangzhou 510640, Guangdong, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2018年 / 157卷 / 01期

关键词：

Global well-posedness; Navier-Stokes-Nernst-Planck-Poisson equations; Besov space; WELL-POSEDNESS; SYSTEM;

D O I：

10.1007/s10440-018-0167-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we obtain a new wellposedness result to the d-dimensional Navier-Stokes-Nernst-Planck-Poisson equations. Our result implies that, if the initial charge densities of a negatively and positively charged species are close enough, we can get global solutions only needing smallness condition imposed on initial velocity. The structure coming from equations and the weighted Chemin-Lerner type space are crucial in our arguments.

引用

页码：129 / 140

页数：12

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