Convection with temperature dependent viscosity in a porous medium: Nonlinear stability and the Brinkman effect
type: Item
instance of: scholarly article
title: Convection with temperature dependent viscosity in a porous medium: Nonlinear stability and the Brinkman effect
zbMATH Open document ID: 0801.76035
author: Lorna Richardson
author: Brian Straughan
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 1994-07-13T00:00:00Z
full work available at URL: https://eudml.org/doc/244260
review text: Summary: We establish a nonlinear energy stability theory for the problem of convection in a porous medium when the viscosity depends on the temperature. This is, in fact, the situation which is true in real life and has many applications to geophysics. The nonlinear analysis presented here would appear to require the presence of a Brinkman term in the momentum equation, rather than just the normal form of Darcy's law.
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 591118
zbMATH Keywords: energy stability theory
zbMATH Keywords: Brinkman term
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 591118