5 citations · 5 across the 3 of their papers we have counts for
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Stability and inviscid limit of the 3D anisotropic MHD system near a background magnetic field with mixed fractional partial dissipation
Xuemin Deng, Yuelong Xiao, Aibin Zang
A main result of this paper establishes the global stability of the three-dimensional MHD equations near a background magnetic field with mixed fractional partial dissipation with…
Non-uniform dependence on initial data for the generalized Camassa-Holm-Novikov equation in Besov space
Xing Wu, Yanghai Yu, Yu Xiao
Considered in this paper is the generalized Camassa-Holm-Novikov equation with high order nonlinearity, which unifies the Camassa-Holm and Novikov equations as special cases. We sh…
On the vanishing dissipation limit for the incompressible MHD equations on bounded domains
Qin Duan, Yuelong Xiao, Zhouping Xin
In this paper, we investigate the solvability, regularity and the vanishing dissipation limit of solutions to the three-dimensional viscous magneto-hydrodynamic (MHD) equations in…
On the Inviscid Limit of the 3D Navier-Stokes Equations with Generalized Navier-slip Boundary Conditions
Yuelong Xiao, Zhouping Xin
In this paper, we investigate the vanishing viscosity limit problem for the 3-dimensional (3D) incompressible Navier-Stokes equations in a general bounded smooth domain of wi…