Global large solutions to the Navier-Stokes-Nernst-Planck-Poisson equations in Fourier-Besov spaces

被引：1

作者：

Xiao, Weiliang ^{[1
]}

Kang, Wenyu ^{[1
]}

机构：

[1] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing, Peoples R China

来源：

APPLICABLE ANALYSIS | 2023年 / 102卷 / 12期

关键词：

Navier-Stokes-Nernst- Planck-Poisson equations; large solutions; Fourier-Besov spaces; WELL-POSEDNESS; SYSTEM;

D O I：

10.1080/00036811.2022.2075353

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 a d-dimensional Navier-Stokes-Nernst-Planck-Poisson equation in Fourier-Besov space. Based on its special structure, the assumption of local smallness of the initial data can be ignored to obtain the global well-posedness, and it is proved that the global existence of the solution can be obtained only if part of the initial data is small enough.

引用

页码：3476 / 3488

页数：13

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