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math.AP2026
Vanishing viscosity limit of the stationary Navier-Stokes equations in an expanding annulus
Xinghong Pan, Chuankai Zhao, Jianfeng Zhao
In this paper, we establish vanishing viscosity limit of the 2D stationary Navier-Stokes equations in an expanding annulus with a fixed width. The flow is subjected to a large pert…
math.AP2026
A Critical one-component regularity criteria for the three-dimensional Navier--Stokes equations
Guo Maotuo, Xiong Shiyang, Zhao Chuankai
We establish two critical one-component regularity criteria for the three-dimensional incompressible Navier--Stokes equations. First, for divergence-free initial data $u_0\in H^1(\…
math.AP2025
Sharp Asymptotic Behavior of the Steady Pressure-free Prandtl system
Chen Gao, Chuankai Zhao
This paper investigates the asymptotic behavior of solutions to the steady pressure-free Prandtl system. By employing a modified von Mises transformation, we rigorously prove the f…