3 papers
math.AP2022
Diffusive relaxation limit of the multi-dimensional hyperbolic Jin-Xin system
Timothée Crin-Barat, Ling-Yun Shou
We study the diffusive relaxation limit of the Jin-Xin system toward viscous conservation laws in the multi-dimensional setting. For initial data being small perturbations of a con…
math.AP2022
Global existence and large time behavior of weak solutions to the two-phase flow
Ya-Ting Wang, Ling-Yun Shou
In this paper, we consider a two-phase flow model consisting of the compressible Navier-Stokes systems with degenerate viscosity coupled with the compressible Navier-Stokes systems…
math.AP2020
Global well-posedness of one-dimensional compressible Navier-Stokes-Vlasov system
Hai-Liang Li, Ling-Yun Shou
A fluid-particle model is investigated in the present paper, which consists of the compressible Navier-Stokes equations coupled with the Vlasov equation though a nonlinear drag for…