Estimates of a single problem of electrodynamics arising in magnetic hydrodynamics in space \(W_p^{2,1}(Q_T)\), \(p>1\). (English) Zbl 1452.35051
Summary: In this paper, unique solvability is obtained and estimates of solutions to the problem of magnetic hydrodynamics are obtained.
MSC:
| 35B45 | A priori estimates in context of PDEs |
| 35Q35 | PDEs in connection with fluid mechanics |
| 35R30 | Inverse problems for PDEs |
| 35K05 | Heat equation |
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
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