Global Well-Posedness of an Initial-Boundary Value Problem of the 2-D Incompressible Navier-Stokes-Darcy System

被引：6
|
作者：
Liu, Pan [1 ]
Liu, Wenjuan [1 ]
机构：
[1] Northwest Univ, Sch Math, Xian 710127, Shaanxi, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2019年 / 160卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Navier-Stokes-Darcy system; Global well-posedness; Dirichlet-Neumann operator;
D O I：
10.1007/s10440-018-0197-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate in the paper the initial boundary value problem of the two dimensional incompressible Navier-Stokes-Darcy system in a strip domain. It is shown that, without any small initial data assumption, the Navier-Stokes-Darcy equations have a unique global strong solution in the strip domain with a flat interface. The key is to establish the global-in-time regularity uniformly by pursuing the properties of Dirichlet-Neumann operator.
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页码：101 / 128
页数：28
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