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arXiv · 2512.12524

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

Linbin Yang·Taoran Zhou
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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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Linbin Yang, Taoran Zhou. 2025-12-14. Lifespan of the Non-resistive Hall-MHD System with Small Magnetic Gradient. https://arxiv.org/abs/2512.12524

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