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Global Cauchy problem for a 2D magnetic Bénard problem with zero thermal conductivity. (English) Zbl 1355.35155

Summary: This paper studies a 2D magnetic Bénard problem with zero thermal conductivity. We prove a global well-posedness result by a well-known property of Hardy space and BMO.

MSC:

35Q35 PDEs in connection with fluid mechanics
35B35 Stability in context of PDEs
76W05 Magnetohydrodynamics and electrohydrodynamics
78A25 Electromagnetic theory (general)
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