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math.AP2019★ 1 cited
On some Liouville type Theorems for the stationary MHD and Hall-MHD equations
Zhouyu Li, Pan Liu, Pengcheng Niu
We prove several Liouville type results for the stationary MHD and Hall-MHD equations. In particular, we show that the velocity and magnetic field, belonging to some Lorentz spaces…
math.AP2019
Well-Posedness of a kind of the free surface equation of shallow water wave
Miaomiao Dang, Zhouyu Li
This paper is concerned with the Cauchy problem of the one-dimensional free surface equation of shallow water wave, we obtain local well-posedness of the free surface equation of s…
math.AP2019
Global well-posedness and Large Time Asymptotic Behavior of Strong Solutions to the Cauchy Problem of the 2-D MHD equation
Zhouyu Li, Pan Liu, Pengcheng Niu
This paper is concerned with the Cauchy problem of the two-dimensional MHD system with magnetic diffusion. It was proved that the MHD equations have a unique global strong solution…