2 papers
math.AP2025
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 $\…
math.AP2024
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…