Xiaoping Zhai

activity

20242026

collaborators

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4 papers · 1 filter

math.AP2026

Enhanced dissipation and stability threshold for the Navier--Stokes equations near Poiseuille flow

Tao Liang, Cuili Zhai, Xiaoping Zhai

We study the nonlinear stability of the quadratic plane Poiseuille flow $U (y) = (y^{2}, 0)$ for the two-dimensional incompressible Navier--Stokes equations on $T \times R$ …

math.AP2026

Sharp linear stability and the absence of enhanced dissipation for Kolmogorov flow in the 2D Navier--Stokes equations with horizontal dissipation

Wanrong Yang, Jiahong Wu, Xiaoping Zhai

We study the linearized dynamics of the Kolmogorov flow $U^{(0)} = (a sin x_{2}, 0)$ for the two-dimensional incompressible Navier--Stokes equations with horizontal dissipation $ν\parti…

math.AP2026

Linear Growth and Nonlinear Stability of Two-Dimensional MHD Couette Flow with Vertical Dissipation

Tao Liang, Jiahong Wu, Xiaoping Zhai

We study the two-dimensional incompressible magnetohydrodynamic system near the Couette equilibrium $((y, 0)^{T}, (β, 0)^{T})$ on $T \times R$ , in the…

math.AP2026

Stabilization by a background magnetic field: global well-posedness of the compressible isentropic ideal MHD equations with velocity damping

Liening Qiao, Jiahong Wu, Fuyi Xu +1

We study the Cauchy problem for the three-dimensional isentropic compressible ideal (inviscid and non-resistive) magnetohydrodynamic equations with velocity damping on the periodic…