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

被引：0
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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.;
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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.
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页码：275 / 301
页数：26
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