Global Well-Posedness of the Navier-Stokes-Darcy System in 3D Horizontally Infinite Strip Domain

被引：0
|
作者：
Gao, Ningning [1 ]
Yao, Lei [2 ]
机构：
[1] Northwest Univ, Sch Math, Xian 710127, Peoples R China
[2] Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2025年 / 35卷 / 02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; DECOMPOSITION METHODS; SURFACE; FLOW; DIRICHLET; MODEL;
D O I：
10.1007/s12220-024-01879-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We are concerned with the initial boundary value problem of the Navier-Stokes-Darcy system in a 3D strip domain. The global well-posedness of the strong solution is shown in the strip domain with a flat interface separating incompressible fluid and porous medium flow. In addition, some exponential decay rates are established. The analysis is based on interpolation estimates and structure of the equations. It is worth mentioning that the property of Dirichlet-Neumann operator plays a key role in the proof.
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页数：23
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