Initial and boundary value problem of the unsteady Navier-Stokes system in the half-space with Holder continuous boundary data

被引：5

作者：

Chang, Tongkeun ^{[1
]}

Jin, Bum Ja ^{[2
]}

机构：

[1] Yonsei Univ, Dept Math, Seoul 136701, South Korea

[2] Mokpo Natl Univ, Dept Math, Muan Gun 534729, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 433卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Stokes; Navier-Stokes; Nonhomogeneous boundary data; Anisotropic Holder space; Half-space; WEAK SOLUTIONS; EQUATIONS; DOMAINS;

D O I：

10.1016/j.jmaa.2015.08.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the initial boundary value problem of the Navier Stokes system in the half-space. We prove the unique solvability of the weak solution for some short time interval (0, T) with the velocity in C-alpha,C-alpha/2 (R-+(n) x (0,T)), 0 < alpha < 1, when the given initial data in C-alpha(R-+(n)) and the given boundary data in C-alpha,C-alpha/2(Rn-1 x (0, T)) satisfy the compatibility conditions. Our result generalizes the result in [29] considering nonhomogeneous Dirichlet boundary data. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：1846 / 1869

页数：24

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