On the nonlinear stability of flow of a conducting fluid past a porous flat plate in a transverse magnetic field
type: Item
instance of: scholarly article
title: On the nonlinear stability of flow of a conducting fluid past a porous flat plate in a transverse magnetic field
zbMATH Open document ID: 0542.76065
DOI: 10.1007/BF00281088
author: N. E. Zubov
published in: Archive for Rational Mechanics and Analysis
publication date: 1983-01-01T00:00:00Z
review text: Using the energy method due to \textit{J. Serrin} [in \textit{S. Flügge} (ed.), Encyclopedia of Physics VIII/1, (1959; Zbl 0102.405)] and \textit{D. D. Joseph} [Stability of fluid motions. II. (1976; Zbl 0345.76023)], the authors have studied the stability of the flow of a conducting fluid past a flat plate with suction and a transverse magnetic field. Considering disturbances which are periodic in the plane of the plate and integrable in the transverse direction they are able to derive sufficient condition for stability.
Mathematics Subject Classification ID: 76E25
zbMATH DE Number: 3862748
zbMATH Keywords: periodic disturbances
zbMATH Keywords: energy method
zbMATH Keywords: conducting fluid past a flat plate
zbMATH Keywords: suction
zbMATH Keywords: transverse magnetic field
zbMATH Keywords: sufficient condition for stability
MaRDI profile type: Publication
cites work: Flow of an electrically conducting fluid past a porous flat plate in the presence of a transverse magnetic field
cites work: Hydromagnetic flow over a plane wall with uniform suction
cites work: On the stability of viscous fluid motions
cites work: Stability of MHD flows in a channel with an inclined external field
cites work: Q4114881
full work available at URL: https://doi.org/10.1007/bf00281088
OpenAlex ID: W2048139570
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description: scientific article; zbMATH DE number 3862748