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
| Author details: | Olaf Schmidtmann |
|---|---|
| URN: | urn:nbn:de:kobv:517-opus-13790 |
| Publication series (Volume number): | NLD Preprints (17) |
| Publication type: | Preprint |
| Language: | English |
| Publication year: | 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 |
| Zentrale und wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum für Dynamik komplexer Systeme | |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
