Lifespan of the Non-resistive Hall-MHD System with Small Magnetic Gradient

Published 14 Dec 2025 in math.AP | (2512.12524v1)

Abstract: In this paper, we consider the non-resistive axially symmetric Hall-MHD system. We show that the lifespan of their strong solutions can be arbitrarily large if their initial magnetic gradient are small enough. Precise lifespan lower bounds for both viscid and inviscid cases are given.

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