2 papers
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.AP2022
ill-posedness for 2D Elastic Wave system
Xinliang An, Haoyang Chen, Silu Yin
In this paper, we prove that for the 2D elastic wave equations, a physical system with multiple wave-speeds, its Cauchy problem fails to be locally well-posed in $H^{\frac{11}{4}}(…