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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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