papers

Publications (12)

math.AP2025

Nonlinear asymptotic stability of 2D Taylor-Couette flow in the exterior disk

Te Li, Ping Zhang, Yibin Zhang

In this paper, we consider the asymptotic stability of the 2D Taylor-Couette flow in the exterior disk, with a small kinematic viscosity and a large rotation coefficient…

math.AP2021

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…

math.AP2025

Enhanced dissipation and Taylor dispersion by a parallel shear flow in an infinite cylinder with unbounded cross section

Te Li, Le Zhang

In this paper, we investigate the long-time behavior of a passive scalar advected by a parallel shear flow in an infinite cylinder with unbounded cross section, in the regime where…

math.AP2025

Nonlinear asymptotic stability and optimal decay rate around the three-dimensional Oseen vortex filament

Te Li, Ping Zhang, Yibin Zhang

In the high-Reynolds-number regime, this work investigates the long-time dynamics of the three-dimensional incompressible Navier-Stokes equations near the Oseen vortex filament. Th…

math.AP2017

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…

cs.CV2022

BCOT: A Markerless High-Precision 3D Object Tracking Benchmark

Jiachen Li, Bin Wang, Shiqiang Zhu +6

Template-based 3D object tracking still lacks a high-precision benchmark of real scenes due to the difficulty of annotating the accurate 3D poses of real moving video objects witho…