3 papers
math.AP2026
Global relaxation limit for the one-fluid Euler-Poisson system with large smooth data
Yue-Jun Peng, Ling-Yun Shou, Jiang Xu
Whether the multi-dimensional Euler-Poisson system admits global smooth solutions remains a challenging open problem. In this paper, we construct a class of large-data global smoot…
math.AP2026
Sharp decay characterization for partially dissipative hyperbolic systems of balance laws
Ling-Yun Shou, Jiang Xu, Ping Zhang
The partially dissipative systems that characterize many physical phenomena were first pointed out by Godunov (1961), then investigated by Friedrichs-Lax (1971) who introduced the…
math.AP2025
The Boltzmann equation in the homogeneous critical regularity framework
Jing Liu, Ling-Yun Shou, Jiang Xu
We construct a unique global solution to the Cauchy problem of the 3D Boltzmann equation for initial data around the Maxwellian in the spatially critical homogeneous Besov space $\…