5 papers · 1 filter
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…
Long time evolution of a pair of 2D viscous point vortices
Ping Zhang, Yibin Zhang
This paper studies the long-time evolution of two point vortices under the 2D Navier-Stokes tokes equations. Starting from initial data given by a pair of Dirac measures, we derive…
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…
Quasi-neutral limit of Nernst-Planck-Navier-Stokes system
Ping Zhang, Yibin Zhang
In this paper, we investigate the quasi-neutral limit of Nernst-Planck-Navier-Stokes system in a smooth bounded domain of for with ``electroneutral boun…