On the solvability of some initial-boundary value problems of magnetofluidmechanics with Hall and ion-slip effects
type: Item
instance of: scholarly article
title: On the solvability of some initial-boundary value problems of magnetofluidmechanics with Hall and ion-slip effects
zbMATH Open document ID: 0834.76094
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 1996-04-01T00:00:00Z
full work available at URL: https://eudml.org/doc/244197
review text: Summary: The solvability of three linear initial-boundary value problems for the linearized system of MHD equations is established. The equations contain terms corresponding to Hall and ion-slip currents. The solutions are found in the Sobolev spaces \(W_p^{2,1} (Q_T)\) with \(p > 5/2\), and in anisotropic Hölder spaces.
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 817270
zbMATH Keywords: anisotropic currents
zbMATH Keywords: uniqueness
zbMATH Keywords: linearized system of MHD equations
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: anisotropic Hölder spaces
author: V. A. Solonnikov
author: Giuseppe Mulone
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 817270