Estimates for the asymptotic expansion of a viscous fluid satisfying Navier's law on a rugous boundary

被引：3

作者：

Casado-Diaz, Juan ^{[1
]}

Luna-Laynez, Manuel ^{[1
]}

Suarez-Grau, Francisco J. ^{[1
]}

机构：

[1] Univ Seville, Dpto Ecuac Diferenciales & Anal Numer, E-41012 Seville, Spain

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 13期

关键词：

rugose boundary; Stokes equations; slip conditions; 2-SCALE CONVERGENCE; STOKES EQUATIONS; HOMOGENIZATION; FLOW; RUGOSITY; DOMAINS;

D O I：

10.1002/mma.1456

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a previous paper, we have studied the asymptotic behavior of a viscous fluid satisfying Navier's law on a periodic rugous boundary of period epsilon and amplitude delta(epsilon), with delta(epsilon)/epsilon tending to zero. In the critical size, delta(epsilon)similar to epsilon(3/2), in order to obtain a strong approximation of the velocity and the pressure it is necessary to consider a boundary layer term in the corresponding ansatz. The purpose of this paper is to estimate the approximation given by this ansatz. Copyright (C) 2011 John Wiley & Sons, Ltd.

引用

页码：1553 / 1561

页数：9

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