The initial value problem for the non-homogeneous Navier-Stokes equations with general slip boundary condition

被引：14

作者：

Itoh, S ^{[1
]}

Tani, A

机构：

[1] Hirosaki Univ, Dept Math, Hirosaki, Aomori 036, Japan

[2] Keio Univ, Dept Math, Yokohama, Kanagawa 223, Japan

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2000年 / 130卷

关键词：

D O I：

10.1017/S0308210500000457

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial-boundary value problem for the non-homogeneous Navier-Stokes equations including the slipping on the solid boundary is considered. The unique solvability is established locally in time for the three-dimensional problem and globally in time for the two-dimensional problem without so-called smallness restrictions.

引用

页码：827 / 835

页数：9

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