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math.AP2024★ 1 cited
Finite time blowup of strong solutions to the two dimensional MHD equations
Xiangdi Huang, Zhouping Xin, Wei Yan
Whether the smooth solution of the multi-dimensional viscous compressible fluids will blow-up in finite time has always been a chanllenging problem. In the recent work\cite{FM}, Me…
math.AP2024
Asymptotic stability of the equilibrium for the free boundary problem of a compressible atmospheric primitive model with physical vacuum
Xin Liu, Edriss S. Titi, Zhouping Xin
This paper concerns the large time asymptotic behavior of solutions to the free boundary problem of the compressible primitive equations in atmospheric dynamics with physical vacuu…