GLOBAL WELL-POSEDNESS OF AXISYMMETRIC NAVIER-STOKES EQUATIONS WITH ONE SLOW VARIABLE

被引：0
|
作者：
Peng, Weimin [1 ]
Zhou, Yi [2 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 07期
关键词：
Navier-Stokes equations; axisymmetric; swirl; global well-posedness; large anisotropic data; INITIAL-VALUE-PROBLEM; AXIALLY-SYMMETRIC FLOWS; REGULARITY; SPACE; LP;
D O I：
10.3934/dcds.2016.36.3845
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the global well-posedness of axisymmetric Navier-Stokes equations with swirl. We prove that there exists a global solution of Navier-Stokes equations under some weighted energy for a class of large anisotropic initial data slowly varying in the vertical variable.
引用
收藏
页码：3845 / 3856
页数：12
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