4 papers · 1 filter
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…