4 papers
Optimal Spectral Lower Bounds and Nonradial Nonlinear Asymptotic Stability of a Family of Three-Dimensional Keller--Segel Self-Similar Blow-Up Solutions
Te Li, Yuwei Sun, Kaiqiang Zhang
This paper studies the spectral properties and nonlinear asymptotic stability of a family of finite-time self-similar blow-up solutions to the three-dimensional Keller--Segel syste…
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…
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 $…
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…