About the equations of non-stationary magneto-hydrodynamics
type: Item
instance of: scholarly article
title: About the equations of non-stationary magneto-hydrodynamics
zbMATH Open document ID: 1021.35088
DOI: 10.1016/S0362-546X(02)00164-5
author: Gerhard Ströhmer
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-03-11T00:00:00Z
review text: Equations of magneto-hydrodynamics are considered in which the conductivity and, to a lesser extent, the magnetic permeability are allowed to vary discontinuously, due to the motion of fluids and solids contained in adjoining regions of space. Weak solutions are obtained which are regular for almost all times, and when the solutions are sufficiently small in a special sense they become strong for all times.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 1880007
zbMATH Keywords: mognato-hydrodynamics
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: weak solutions
zbMATH Keywords: strong solutions
reviewed by: Alan Jeffrey
MaRDI profile type: Publication
cites work: A direct boundary integral equation method for transmission problems
cites work: Q4040640
cites work: The linearization principle and invariant manifolds for problems of magnetohydrodynamics
cites work: On electromagnetically and thermally driven liquid-metal flows.
cites work: General interface problems—I
cites work: Q4700025
cites work: A Note on the Dirichlet Problem for the Stokes System in Lipschitz Domains
cites work: An existence result for partially regular weak solutions of certain abstract evolution equations, with an application to magneto-hydrodynamics
cites work: Q4880694
cites work: About the equations of non-stationary magneto-hydrodynamics with non-conducting boundaries
cites work: Infinite-dimensional dynamical systems in mechanics and physics
cites work: Q4169288
cites work: Q3695717
description: scientific article; zbMATH DE number 1880007