Free oscillations of a thin fluid layer of finite electric conductivity under the action of an external magnetic field
type: Item
instance of: scholarly article
zbMATH Open document ID: 0999.76141
author: A. I. Zadorozhnyj
author: R. A. Gruntfest
publication date: 2001-06-10T00:00:00Z
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 1603308
zbMATH Keywords: three-layer model
zbMATH Keywords: integrodifferential Fredholm equation
zbMATH Keywords: asymptotic formulas
zbMATH Keywords: surface and internal MHD waves
zbMATH Keywords: high-frequency gravitational surface waves
zbMATH Keywords: low-frequency electromagnetic surface waves
MaRDI profile type: Publication
title: Free oscillations of a thin fluid layer of finite electric conductivity under the action of an external magnetic field
published in: Prikladnaya Mekhanika i Tekhnicheskaya Fizika
review text: The problem of free oscillations of a thin layer of a heavy, incompressible, inviscid fluid of finite electrical conductivity in a horizontal magnetic field is reduced to a system of integrodifferential Fredholm equations with variable coefficients. A numerical analysis is performed over a broad range of input parameters, and the results obtained are supplemented with asymptotic formulas with large and small magnetic Reynolds numbers. A classification of the resultant wave modes is proposed. It is shown that certain conditions can lead to the occurrence of unstable oscillations of the fluid layer that grow in time.
description: scientific article; zbMATH DE number 1603308