On some stationary problems of magnetohydrodynamics in multi-connected domains. (English. Russian original) Zbl 1261.35123
J. Math. Sci., New York 185, No. 5, 728-741 (2012); translation from Zap. Nauchn. Semin. POMI 397, 126-149 (2011).
Summary: We prove maximal regularity estimates in the Sobolev spaces \(W_p^2\) and in the Hölder spaces \(C^{2+\alpha}\) for weak solutions of stationary problems of magnetohydrodynamics. We give precise formulations of these problems in multi-connected domains.
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
References:
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