Strong solutions to the incompressible Navier-Stokes equations in the half-space

被引：22

作者：

Cannone, M ^{[1
]}

Planchon, F

Schonbek, M

机构：

[1] Univ Paris 07, UFR Math, F-75251 Paris 05, France

[2] Univ Paris 06, Anal Numer Lab, F-75252 Paris, France

[3] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

[4] Grad Sch Polymath, Nagoya, Aichi, Japan

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2000年 / 25卷 / 5-6期

关键词：

D O I：

10.1080/03605300008821536

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive an exact formula for solutions to the Stokes equations in the half-space with an external forcing term. This formula is used to establish local and global existence and uniqueness in a suitable Besov space for solutions to the Navier-Stokes equations. In particular, well-posedness is proved for initial data in L-3(R-+(3)).

引用

页码：903 / 924

页数：22

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