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A remark on the blow-up criterion for the 3D Hall-MHD system in Besov spaces. (English) Zbl 1338.35077
Summary: In this paper, we consider the three-dimensional Hall-magnetohydrodynamic system, and show that if the velocity and the magnetic fields belong to some critical Besov spaces on $$(0, T)$$, then the solution can be extended smoothly beyond $$T$$. This improves previous results.

##### MSC:
 35B44 Blow-up in context of PDEs 76W05 Magnetohydrodynamics and electrohydrodynamics 35B60 Continuation and prolongation of solutions to PDEs 35Q35 PDEs in connection with fluid mechanics
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##### References:
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