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gr-qc2023★ 1 cited
Dynamics of Apparent Horizon and a Null Comparison Principle
Xinliang An, Taoran He
This paper investigates the global dynamics of the apparent horizon. We present an approach to establish its existence and its long-term behaviors. Our apparent horizon is construc…
math.AP2023
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…