7 papers · 1 filter
Electrostatic effects on critical regularity and long-time behavior of viscous compressible fluids
Ling-yun Shou, Zihao Song
We consider the compressible Navier-Stokes-Poisson equations in (), a classical model for barotropic compressible flows coupled with a self-consistent electr…
The incompressible inhomogeneous Navier-Stokes-Vlasov-Fokker-Planck equations: global well-posedness and inviscid limit
Fucai Li, Jinkai Ni, Ling-Yun Shou +1
The global well-posedness and inviscid limit are investigated for the fluid-particle interaction system, described by the Navier-Stokes equations for the inhomogeneous incompressib…
Relaxation limit and asymptotic stability for the Euler-Navier-Stokes equations
Mingwen Fei, Ling-Yun Shou, Houzhi Tang
The Euler-Navier-Stokes (E-NS) system arises as a macroscopic description of kinetic-fluid interactions, derived from the local-Maxwellian closure of the Vlasov-Fokker-Planck-Navie…
High-capillarity limit and smoothing effect of large solutions for a multi-dimensional generic non-conservative compressible two-fluid model
Ling-Yun Shou, Jiayan Wu, Lei Yao +1
We investigate the global existence and long-time behavior of large solutions, in the high-capillarity regime, for a general multidimensional non-conservative compressible two-flui…
Large-time asymptotics of periodic two-dimensional Vlasov-Navier-Stokes flows
Raphaël Danchin, Ling-Yun Shou
We study the large-time behavior of finite-energy weak solutions for the Vlasov-Navier-Stokes equations in a two-dimensional torus. We focus first on the homogeneous case where the…
The non-conservative compressible two-fluid system with common pressure: Global existence and sharp time asymptotics
Ling-Yun Shou, Jiayan Wu, Lei Yao +1
This paper concerns the global-in-time evolution of a generic compressible two-fluid model in () with the common pressure law. Due to the non-dissipative pro…