16 citations · 30 across the 7 of their papers we have counts for
7 papers
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…
Vanishing Viscosity Limit For the 3D Nonhomogeneous Incompressible Navier-Stokes Equations With a Slip Boundary Condition
Pengfei Chen, Yuelong Xiao, Hui Zhang
In this paper, we investigate the vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equations with a slip boundary condition. We establish the local…
A Riemann-Hilbert approach to the Harry-Dym equation on the line
Yu Xiao, Engui Fan
In this paper, we consider the Harry-Dym equation on the line with decaying initial value. The Fokas unified method is used to construct the solution of the Harry-Dym equation via…
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…
On 3D Lagrangian Navier-Stokes model with a Class of Vorticity-Slip Boundary conditions
Yuelong Xiao, Zhouping Xin
This paper concerns the 3-dimensional Lagrangian Navier-Stokes model and the limiting Navier-Stokes system on smooth bounded domains with a class of vorticity-slip boundary con…