On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects. (English) Zbl 1321.35087
Summary: In this paper, we prove some regularity criteria and the local well-posedness of strong solutions to the magnetohydrodynamics with the Hall and ion-slip effects. We also establish global existence and time decay rate for small data.
MSC:
| 35K55 | Nonlinear parabolic equations |
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35B44 | Blow-up in context of PDEs |
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