Longtime dynamics of a conductive fluid in the presence of a strong magnetic field. (English) Zbl 0696.35134
Summary: We prove the existence in the large of localized solutions to the MHD equations for an ideal conducting fluid subject to a strong magnetic field. We show that, for large time, the dynamics may reduce to linear Alfven waves.
MSC:
| 35Q99 | Partial differential equations of mathematical physics and other areas of application |
| 76E25 | Stability and instability of magnetohydrodynamic and electrohydrodynamic flows |
| 35B35 | Stability in context of PDEs |
References:
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