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math.AP2026
On the Lifespan of Axisymmetric Hall-MHD with Swirl
Zhipeng Wu, Linbin Yang
In this paper, we study the three-dimensional inviscid incompressible resistive Hall-MHD system in the axisymmetric setting with nontrivial swirl velocity and purely azimuthal magn…
math.AP2025
Lifespan of the Non-resistive Hall-MHD System with Small Magnetic Gradient
Linbin Yang, Taoran Zhou
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 magnet…