3 papers
math.AP2026
Asymptotic linear stability of columnar vortices driven by Coriolis force
Shuang Miao, Siqi Ren, Zhifei Zhang
In this paper, we establish the asymptotic linear stability of a class of Coriolis-driven columnar vortices for the 3-D axisymmetric Euler equations. This result represents a criti…
math.AP2026
Asymptotic stability threshold of the 2-D monotone shear flow with no-slip boundary condition
Zhen Li, Shunlin Shen, Zhifei Zhang
In this paper, we investigate the asymptotic stability threshold problem for the 2-D Navier-Stokes equations in a finite channel with no-slip boundary conditions, around monotone s…
math.AP2024
Linear inviscid damping in the presence of an embedding eigenvalue
Siqi Ren, Zhifei Zhang
In this paper, we investigate the long-time dynamics of the linearized 2-D Euler equations around a hyperbolic tangent flow . A key difference compared to previous res…