The fixed boundary value problems for the equations of ideal magneto- hydrodynamics with a perfectly conducting wall condition
type: Item
instance of: scholarly article
title: The fixed boundary value problems for the equations of ideal magneto- hydrodynamics with a perfectly conducting wall condition
zbMATH Open document ID: 0726.76111
DOI: 10.1007/BF02096793
author: Taku Yanagisawa
author: Akitaka Matsumura
published in: Communications in Mathematical Physics
publication date: 1991-01-01T00:00:00Z
review text: The initial and boundary value problem of the flows of an ideal magnetohydrodynamic fluid (no electrical resistivity, i.e. the conductivity is infinite, no heat conductivity and no viscosity) is studied in a domain bounded by perfectly conducting walls. The initial value problem is separated from the boundary value problem and the authors speak of ``local in time'' solutions. The boundary value problem is studied in detail and all the theorems which are necessary to obtain existence and uniqueness are shown to be demonstrated.
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 4199901
zbMATH Keywords: local in time solutions
zbMATH Keywords: boundary value problem
zbMATH Keywords: ideal magnetohydrodynamic fluid
zbMATH Keywords: perfectly conducting walls
zbMATH Keywords: initial value problem
reviewed by: Iván Abonyi
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4199901