4 papers
Formation of Trapped Surfaces for the Einstein-Euler System
Xinliang An, Sifan Yu
We prove the formation of trapped surfaces for the Einstein--Euler system in 3+1 dimensions beyond spherical symmetry. We consider smooth characteristic initial data in a short-pul…
Joint Line Intensity Recovery from Multi-Tracer Cross-Correlations
Carlos E. Sierra, Kirit S. Karkare
Line intensity mapping (LIM) provides a unique window into the high-redshift universe, but the separation of signals from overlapping emission lines and bright continuum foreground…
Shock Formation for Compressible Euler Equations on
Xinliang An, Haoyang Chen, Fulin Qi +1
In this paper, we prove the finite-time shock formation for the compressible Euler equations on the two-dimensional sphere . In contrast to the flat Euclidean case $\…
Low-Regularity Local Well-Posedness for the Elastic Wave System
Xinliang An, Haoyang Chen, Sifan Yu
We study the elastic wave system in three spatial dimensions. For admissible harmonic elastic materials, we prove a desired low-regularity local well-posedness result for the corre…