ON THE GLOBAL WELL-POSEDNESS OF 3-D BOUSSINESQ SYSTEM WITH PARTIAL VISCOSITY AND AXISYMMETRIC DATA

被引：7
|
作者：
Sokrani, Saoussen [1 ]
机构：
[1] Univ Tunis El Manar, Dept Math, Fac Sci Tunis, Tunis 2092, Tunisia
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2019年 / 39卷 / 04期
关键词：
Boussinesq systems; Littlewood-Paley theory; axisymmetric flow; NAVIER-STOKES EQUATIONS; APPROXIMATION; EXISTENCE; FLOWS;
D O I：
10.3934/dcds.2019072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove the global well-posedness for the Three dimensional Boussinesq system with axisymmetric initial data. This system couples the Navier-Stokes equation with vanishing the horizontal viscosity with a transport-diffusion equation governing the temperature.
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页码：1613 / 1650
页数：38
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