3 papers
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.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.AP2025
Linear enhanced dissipation for the 2D Taylor-Couette flow in the exterior region: A supplementary example for Gearhart-Prüss type lemma
Te Li, Ping Zhang, Yibin Zhang
From the perspective of asymptotic stability at high Reynolds numbers, Taylor-Couette flow, as a typical rotating shear flow, exhibits rich decay behaviors. Previously, for the ext…