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math.PR2022★ 2 cited
Non-uniqueness in law of the two-dimensional surface quasi-geostrophic equations forced by random noise
Kazuo Yamazaki
Via probabilistic convex integration, we prove non-uniqueness in law of the two-dimensional surface quasi-geostrophic equations forced by random noise of additive type. In its proo…
math.AP2022
Remarks on the global regularity issue of the two and a half dimensional Hall-magnetohydrodynamics system
Mohammad Mahabubur Rahman, Kazuo Yamazaki
Whether or not the solution to the -dimensional Hall-magnetohydrodynamics system starting from smooth initial data preserves its regularity for all time remains a cha…
math.AP2022★ 1 cited
Non-uniqueness in law of transport-diffusion equation forced by random noise
Ujjwal Koley, Kazuo Yamazaki
We consider a transport-diffusion equation forced by random noise of three types: additive, linear multiplicative in It's interpretation, and transport in Straton…