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

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Author:Olaf Schmidtmann
Series (Serial Number):NLD Preprints (paper 017)
Document Type:Preprint
Year of Completion:1995
Publishing Institution:Universität Potsdam
Release Date:2007/06/06
Tag:MHD-equations; approximate inertial manifolds
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum Dynamik komplexer Systeme
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik