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Modelling of the interaction of lower and higher modes in two-dimensional MHD-equations

The present paper is related to the problem of approximating the exact solution to the magnetohydrodynamic equations (MHD). The behaviour of a viscous, incompressible and resistive fluid is exemined for a long period of time.

Contents:
1 The magnetohydrodynamic equations
2 Notations and precise functional setting of the problem
3 Existence, uniqueness and regularity results
4 Statement and Proof of the main theorem
5 The approximate inertial manifold
6 Summary

Identiferoai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:1379
Date January 1995
CreatorsSchmidtmann, Olaf
PublisherUniversität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Physik und Astronomie, Wissenschaftliche Einrichtungen. Interdisziplinäres Zentrum Dynamik komplexer Systeme
Source SetsPotsdam University
LanguageEnglish
Detected LanguageEnglish
TypePreprint
Formatapplication/pdf
Rightshttp://opus.kobv.de/ubp/doku/urheberrecht.php

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