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math.AP2023
An improved Liouville-type theorem for the stationary tropical climate model
Youseung Cho, Hyunjin In, Minsuk Yang
In this paper, we study the Liouville-type property for smooth solutions to the steady 3D tropical climate model. We prove that if a smooth solution satisfies $u \in L^3…
math.AP2023
Global existence of solutions for the Hall-MHD equations
TongKeun Chang, Bataa Lkhagvasuren, MinSuk Yang
In this paper, we study the global well-posedness of the incompressible Hall-MHD system for small initial data $( u_0, b_0) \in \dot B^{\frac3p -1}_{p,5} (\mathbb{R}) \times \Big(…