The Initial Value Problem for the Navier-Stokes Equations with General Slip Boundary Condition in Hölder Spaces

被引：0

作者：

S. Itoh

N. Tanaka

A. Tani

机构：

[1] Hirosaki University,

[2] Department of Mathematics,undefined

[3] Hirosaki 036-8560,undefined

[4] Japan. E-mail: sitoh@cc.hirosaki-u.ac.jp,undefined

[5] Fukuoka University,undefined

[6] Department of Applied Mathematics,undefined

[7] Fukuoka 814-0180,undefined

[8] Japan. E-mail: naoto@cis.fukuoka-u.ac.jp,undefined

[9] Keio University,undefined

[10] Department of Mathematics,undefined

[11] Yokohama 223-8522,undefined

[12] Japan. E-mail: tani@math.keio.ac.jp,undefined

来源：

Journal of Mathematical Fluid Mechanics | 2003年 / 5卷

关键词：

Mathematics Subject Classification (2000). 35Q30, 76D05, 76D10.¶Keywords. Incompressible Navier-Stokes equations, general slip boundary condition, Hölder spaces.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The initial-boundary value problem for the Navier-Stokes equations including the slipping on the solid boundary is considered. The unique solvability is established in Hölder spaces 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：275 / 301

页数：26

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