Global stability of large solutions for the Navier-Stokes equations with Navier boundary conditions

被引：4
|
作者：
Benvenutti, Maicon J. [1 ]
Ferreira, Lucas C. F. [2 ]
机构：
[1] Univ Fed Santa Catarina, Campus Blumenau, BR-89065300 Blumenau, SC, Brazil
[2] Univ Estadual Campinas, IMECC Dept Matemat, BR-13083859 Campinas, SP, Brazil
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2018年 / 43卷
基金：
巴西圣保罗研究基金会;
关键词：
Navier-Stokes equations; Slip boundary condition; Stability; Global strong solutions; Helical solutions; ASYMPTOTIC STABILITY; L-2; STABILITY;
D O I：
10.1016/j.nonrwa.2018.03.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove global stability of strong large solutions for the 3D incompressible Navier-Stokes equations with Navier slip boundary conditions. This result is obtained under an integrable property that depends on these slip conditions. In addition, we show that strong helical solutions are global in time. Combining the latter with the stability result, we provide a class of 3D global large solutions with perturbations of helical vector-fields as initial data. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：308 / 322
页数：15
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