Study of a model of thermal convection in cylindrical containers
type: Item
instance of: scholarly article
title: Study of a model of thermal convection in cylindrical containers
zbMATH Open document ID: 0786.76037
DOI: 10.1016/0167-2789(92)90149-H
author: V. Pereyra
published in: Physica D
publication date: 1994-04-27T00:00:00Z
review text: We propose a generalized Swift-Hohenberg model equation that shows different planforms as observed in experiments in convective layers heated from below. We use this model to study the natural planform when some symmetric inhomogeneities are present on the sidewall boundary conditions. A stability analysis in the one-dimensional case allows us to determine when the rolls parallel to the sidewalls remain stable or perturbations perpendicular to these sidewalls can appear. Having the simple analysis in mind, we study numerical solutions of the model equation in two-dimensional case considering those inhomogeneities.
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 493580
zbMATH Keywords: generalized Swift-Hohenberg model equation
zbMATH Keywords: symmetric inhomogeneities
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 493580