110 citations · 144 across the 6 of their papers we have counts for
6 papers
Nonlinear asymptotic stability and transition threshold for 2D Taylor-Couette flows in Sobolev spaces
Xinliang An, Taoran He, Te Li
In this paper, we investigate the stability of the 2-dimensional (2D) Taylor-Couette (TC) flow for the incompressible Navier-Stokes equations. The explicit form of velocity for 2D…
Enhanced dissipation and nonlinear asymptotic stability of the Taylor-Couette flow for the 2D Navier-Stokes equations
Xinliang An, Taoran He, Te Li
In this paper, we study the nonlinear stability of a steady circular flow created between two rotating concentric cylinders. The dynamics of the viscous fluid are described by 2D N…
Transition threshold for the 3D Couette flow in a finite channel
Qi Chen, Dongyi Wei, Zhifei Zhang
In this paper, we study nonlinear stability of the 3D plane Couette flow at high Reynolds number in a finite channel . It…
Transition threshold for the 2-D Couette flow in a finite channel
Qi Chen, Te Li, Dongyi Wei +1
In this paper, we study the transition threshold problem for the 2-D Navier-Stokes equations around the Couette flow at large Reynolds number in a finite channel. We d…
Pseudospectral bound and transition threshold for the 3D Kolmogorov flow
Te Li, Dongyi Wei, Zhifei Zhang
In this paper, we establish the pseudospectral bound for the linearized operator of the Navier-Stokes equations around the 3D Kolmogorov flow. Using the pseudospectral bound and th…
Pseudospectral and spectral bounds for the Oseen vortices operator
Te Li, Dongyi Wei, Zhifei Zhang
In this paper, we solve Gallay's conjecture on the spectral lower bound and pseudospecrtal bound for the linearized operator of the Navier-Stokes equation in around rapidly r…