3 papers
gr-qc2025
On Kerr black hole formation with complete apparent horizon and a new approach toward Penrose inequality
Xinliang An, Taoran He
Arising from admissible extended scale-critical short-pulse initial data, we show that 3+1 dimensional Einstein vacuum equations admit dynamical Kerr black hole formation solutions…
gr-qc2022
Quantitative blow-up estimates for spacelike singularities in gravitational-collapse cosmological spacetimes
Xinliang An, Haoyang Chen, Taoran He
Under spherical symmetry, with double-null coordinates , we study the gravitational collapse of the Einstein--scalar field system with a positive cosmological constant. The…
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…