Pattern formations in heat convection problems
type: Item
instance of: scholarly article
title: Pattern formations in heat convection problems
zbMATH Open document ID: 1183.65128
author: Takaaki Nishida
author: Yoshiaki Teramoto
published in: Chinese Annals of Mathematics. Series B
publication date: 2010-01-04T00:00:00Z
review text: The authors investigate the pattern formation phenomenon in several heat convection problems. Of concern are the Rayleigh-Bernard problem with Oberbeck-Boussinesq equations for the velocity, pressure and temperature, or Bernard-Marangoni. Various bifurcation pictures are derived by means of standard bifurcation theory, weakly nonlinear theory and computational approach.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 68T15
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 5652265
zbMATH Keywords: pattern formation
zbMATH Keywords: Oberbeck-Boussinesq equation
zbMATH Keywords: heat convection
zbMATH Keywords: computer assisted proof
zbMATH Keywords: Rayleigh-Bernard problem
zbMATH Keywords: Bernard-Marangoni
zbMATH Keywords: bifurcation
MaRDI profile type: Publication
full work available at URL: s11401-009-0101-x
OpenAlex ID: W1971521694
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DOI: 10.1007/S11401-009-0101-X
description: scientific article; zbMATH DE number 5652265