Averaging of nonstationary Stokes flow in a periodic porous medium
type: Item
instance of: scholarly article
title: Averaging of nonstationary Stokes flow in a periodic porous medium
zbMATH Open document ID: 0890.35106
author: G. V. Sandrakov
published in: Doklady Mathematics
publication date: 1998-06-29T00:00:00Z
review text: A nonstationary system of Stokes equations in a periodically perforated domain with a small period \(\varepsilon\) is considered. The system simulates the flow of a viscous incompressible liquid in a periodic porous medium at the level of a linear approximation. It is assumed that the viscosity coefficient \(v\) in the system satisfies one of the following three conditions when \(\varepsilon\to 0\): \[ v/\varepsilon^2\to \infty,\quad v/\varepsilon^2\to 1,\quad v/\varepsilon^2\to 0. \] Averaged equations, whose forms depend on the limiting behavior of the viscosity coefficient, are presented. We also consider some extensions to solutions of the system and formulate statements on their convergence to solutions of the averaged equations when \(\varepsilon\to 0\).
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 1113095
zbMATH Keywords: nonstationary Stokes equations
zbMATH Keywords: solutions of convergence
zbMATH Keywords: periodically perforated domain
zbMATH Keywords: viscosity coefficient
zbMATH Keywords: averaged equations
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1113095