In this paper, we studied the non-resistive axially symmetric Hall-Magnetohydrodynamics (MHD) system. We showed that the lifespan of their strong solutions can be arbitrarily large if their initial magnetic gradient was small enough. Precise lifespan lower bounds for both viscid and inviscid cases were given.
Citation: Linbin Yang, Taoran Zhou. Lifespan of the non-resistive Hall-MHD system with small magnetic gradient[J]. AIMS Mathematics, 2026, 11(2): 4966-4984. doi: 10.3934/math.2026203
In this paper, we studied the non-resistive axially symmetric Hall-Magnetohydrodynamics (MHD) system. We showed that the lifespan of their strong solutions can be arbitrarily large if their initial magnetic gradient was small enough. Precise lifespan lower bounds for both viscid and inviscid cases were given.
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Linbin Yang, Taoran Zhou. Lifespan of the non-resistive Hall-MHD system with small magnetic gradient[J]. AIMS Mathematics, 2026, 11(2): 4966-4984. doi: 10.3934/math.2026203
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