The Asymptotic Properties of the Solution to the Stokes Problem in Domains That Are Layer-Like at Infinity

被引：22

作者：

Nazarov, S. A. ^{[1
]}

Pileckas, K. ^{[2
]}

机构：

[1] Inst Mech Engn Problems, Lab Math Modelling Wave Phenomena, VO Bolshoy Pr 61, St Petersburg 199178, Russia

[2] Inst Math & Informat, LT-2600 Vilnius, Lithuania

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 1999年 / 1卷 / 02期

关键词：

Stokes equations; asymptotics at infinity; layer-like domains; dimension reduction procedure;

D O I：

10.1007/s000210050007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Asymptotic formulae are derived for solutions to the Stokes problem in domains which, outside a ball, coincide with the three-dimensional layer R-2 x (0, 1). The properties of detached asymptotic terms differ in the transversal and longitudinal directions. In order to justify the asymptotic expansions the procedure of dimension reduction is employed together with estimates for miscellaneous weighted norms of the solutions.

引用

页码：131 / 167

页数：37

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