Nonlinear stationary magnetoconvection due to oblique magnetic field
type: Item
instance of: scholarly article
title: Nonlinear stationary magnetoconvection due to oblique magnetic field
zbMATH Open document ID: 0817.76020
DOI: 10.1007/BF00660078
author: S. G. Tagare
published in: Astrophysics and Space Science
publication date: 1995-07-23T00:00:00Z
review text: The author studies stationary magnetoconvection in penumbral region of sunspot due to oblique magnetic field in the \(x - z\) plane making an angle with the vertical. The Landau-Ginzburg equation describing the effect of oblique magnetic field on Rayleigh-Bénard convection near the onset of stationary convection at supercritical cusp bifurcation is analytically solved. Also, analytical solutions are given for a nonlinear second-order ordinary differential equation describing behaviour near the onset of stationary convection. The paper is presented in a clear form and should be of interest to researchers engaged in the theoretical Spects of magnetohydrodynamic instabilities. Nothing is mentioned about interpretation and presentation of the results in plots.
Mathematics Subject Classification ID: 76E25
Mathematics Subject Classification ID: 76E20
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 85A30
zbMATH DE Number: 696858
zbMATH Keywords: penumbral region of sunspot
zbMATH Keywords: Landau-Ginzburg equation
zbMATH Keywords: Rayleigh-Bénard convection
zbMATH Keywords: supercritical cusp bifurcation
reviewed by: Ioan Pop
MaRDI profile type: Publication
cites work: Q5518219
cites work: Finite bandwidth, finite amplitude convection
cites work: Motion of vortex lines in the Ginzburg-Landau model
cites work: Distant side-walls cause slow amplitude modulation of cellular convection
full work available at URL: https://doi.org/10.1007/bf00660078
OpenAlex ID: W1989890278
description: scientific article; zbMATH DE number 696858