6 papers · 1 filter
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…
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…
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 $\…
A new characterization of the dissipation structure and the relaxation limit for the compressible Euler-Maxwell system
Timothée Crin-Barat, Yue-Jun Peng, Ling-Yun Shou +1
We investigate the three-dimensional compressible Euler-Maxwell system, a model for simulating the transport of electrons interacting with propagating electromagnetic waves in semi…
The pressureless damped Euler-Riesz system in the critical regularity framework
Meiling Chi, Ling-Yun Shou, Jiang Xu
We are concerned with a system governing the evolution of the pressureless compressible Euler equations with Riesz interaction and damping in (), where the…
The Cattaneo-Christov approximation of Fourier heat-conductive compressible fluids
Timothée Crin-Barat, Shuichi Kawashima, Jiang Xu
We investigate the Navier-Stokes-Cattaneo-Christov (NSC) system in (), a model of heat-conductive compressible flows serving as a finite speed of propagation…