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math.AP2023
Remarks on the two-dimensional magnetohydrodynamics system forced by space-time white noise
Kazuo Yamazaki
We study the two-dimensional magnetohydrodynamics system forced by space-time white noise. Due to a lack of an explicit invariant measure, the approach of Da Prato and Debussche (2…
math.AP2023
Another remark on the global regularity issue of the Hall-magnetohydrodynamics system
Mohammad Mahabubur Rahman, Kazuo Yamazaki
We discover cancellations upon -estimate of the Hall term for . As its consequence, first, we derive a regularity criterion for the 3-dimensio…