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.
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页码：3476 / 3488
页数：13
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