Global existence of the strong solution to the 3D incompressible micropolar equations with fractional partial dissipation

被引：0
|
作者：
Liu, Yujun [1 ]
机构：
[1] Panzhihua Univ, Dept Math & Comp, Panzhihua 617000, Peoples R China
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2023年 / 75卷 / 05期
关键词：
Incompressible micropolar; gractional; partial dissipation; FLUID SYSTEM; WELL-POSEDNESS; WEAK SOLUTIONS; REGULARITY;
D O I：
10.4153/S0008414X22000414
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we considered the global strong solution to the 3D incompressible micropolar equations with fractional partial dissipation. Whether or not the classical solution to the 3D Navier-Stokes equations can develop finite-time singularity remains an outstanding open problem, so does the same issue on the 3D incompressible micropolar equations. We establish the global-in-time existence and uniqueness strong solutions to the 3D incompressible micropolar equations with fractional partial velocity dissipation and microrotation diffusion with the initial data (u(0), w(0)) is an element of H-1(R-3).
引用
收藏
页码：1516 / 1539
页数：24
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