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On the semigroup generated by the Oseen operator around a steady flow exterior to a rotating obstacle
Jingyue Li, Changxing Miao, Xiaoxin Zheng
We consider the motion of an incompressible viscous fluid filling the whole space exterior to a moving with rotation and translation obstacle. We show that the Stokes operator arou…
Minimal blow-up initial data in critical Fourier-Herz spaces for potential Navier-Stokes singularities
Jingyue Li, Changxing Miao, Xiaoxin Zheng
In this paper, we mainly prove the existence of the minimal blow-up initial data in critical Fourier-Herz space $F\dot{B}^{2-{\frac3p}}_{p,q}(\RR^3)$ with and $1\le…
Between homogeneous and inhomogeneous Navier-Stokes systems: the issue of stability
Piotr B. Mucha, Liutang Xue, Xiaoxin Zheng
We construct large velocity vector solutions to the three dimensional inhomogeneous Navier-Stokes system. The result is proved via the stability of two dimensional solutions with c…
Global well-posedness for axisymmetric MHD system with only vertical viscosity
Quansen Jiu, Huan Yu, Xiaoxin Zheng
In this paper, we are concerned with the global well-posedness of a tri-dimensional MHD system with only vertical viscosity in velocity equation for the large axisymmetric initial…