9 citations · 21 across the 18 of their papers we have counts for
23 papers
Global existence and vanishing viscosity limit of the compressible Navier-Stokes-Vlasov-Fokker-Planck system in critical spaces
Hai-Liang Li, Ling-Yun Shou
We study multidimensional compressible fluid-particle systems at critical regularity, in which a carrier fluid and a particle phase with Fokker-Planck diffusion are coupled through…
Long-time dynamics of partially dissipative hyperbolic systems with non-autonomous coefficients
Timothée Crin-Barat, Ling-Yun Shou, Qimeng Zhu
We study quasilinear symmetrizable partially dissipative hyperbolic systems with non-autonomous relaxation coefficients in (). The existence of global strong…
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…
Compressible Euler equations with time-dependent damping in the critical regularity setting: global well-posedness and strong relaxation limit
Timothée Crin-Barat, Xinghong Pan, Ling-Yun Shou +1
We investigate the relaxation problem and the diffusion phenomenon for the compressible Euler system with a time-dependent damping coefficient of the form in $\m…
Large-friction and incompressible limits for pressureless Euler-Navier-Stokes flows
Hai-Liang Li, Ling-Yun Shou, Yue Zhang
We study the global macroscopic limits associated with kinetic-fluid interaction models for sprays. Motivated by the Vlasov-Navier-Stokes system under the monokinetic ansatz, we co…
Hele-Shaw limit of chemotaxis-Navier-Stokes flows
Qingyou He, Ling-Yun Shou, Leyun Wu
This paper investigates the connection between the chemotaxis--Navier--Stokes system with porous medium type nonlinear diffusion and the Hele--Shaw problem in ($d\ge…
Global convergence rates in the relaxation limits for the compressible Euler and Euler-Maxwell systems in Sobolev spaces
Timothée Crin-Barat, Yue-Jun Peng, Ling-Yun Shou
We study two relaxation problems in the class of partially dissipative hyperbolic systems: the compressible Euler system and the compressible Euler-Maxwell system. In classical Sob…
Large-Time Asymptotics for Hyperbolic Systems with Non-Symmetric Relaxation: An Algorithmic Approach
Timothée Crin-Barat, Lorenzo Liverani, Ling-Yun Shou +1
We study the stability of one-dimensional linear hyperbolic systems with non-symmetric relaxation. Introducing a new frequency-dependent Kalman stability condition, we prove an abs…
Global dynamics for the generalized chemotaxis-Navier-Stokes system in
Qingyou He, Ling-Yun Shou, Leyun Wu
We consider the chemotaxis-Navier-Stokes system with generalized fluid dissipation in : \begin{eqnarray*} \begin{cases} \partial_t n+u\cdot \nabla n=Δn- \nabla \cdot…
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…
Exponential Stability of the Inhomogeneous Navier-Stokes-Vlasov System in Vacuum
Hai-Liang Li, Ling-Yun Shou, Yue Zhang
In this paper, we study the asymptotic behaviors of solutions to the inhomogeneous Navier-Stokes-Vlasov system in , where the initial fluid dens…
Strong relaxation limit and uniform time asymptotics of the Jin-Xin model in the framework
Timothée Crin-Barat, Ling-Yun Shou, Jianzhong Zhang
We investigate the time-asymptotic stability of the Jin-Xin model and its diffusive relaxation limit toward viscous conservation laws in for . First, we est…
Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system
Timothée Crin-Barat, Ling-Yun Shou, Enrique Zuazua
A new framework to obtain time-decay estimates for partially dissipative hyperbolic systems set on the real line is developed. Under the classical Shizuta-Kawashima (SK) stability…
Global existence and optimal time-decay rates of the compressible Navier-Stokes-Euler system
Hai-Liang Li, Ling-Yun Shou
In this paper, we consider the Cauchy problem of the multi-dimensional compressible Navier-Stokes-Euler system for two-phase flow motion, which consists of the isentropic compressi…
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…
Quantitative derivation of a two-phase porous media system from the one-velocity Baer-Nunziato and Kapila systems
Timothée Crin-Barat, Ling-Yun Shou, Jin Tan
In this paper we investigate two types of relaxation processes quantitatively in the context of small data global-in-time solutions for compressible one-velocity multi-fluid models…
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…
The hyperbolic-parabolic chemotaxis system for vasculogenesis: global dynamics and relaxation limit toward a Keller-Segel model
Timothée Crin-Barat, Qingyou He, Ling-Yun Shou
An Euler-type hyperbolic-parabolic system of chemotactic aggregation describing the vascular network formation is investigated in the critical regularity setting. For small initial…
Global existence of weak solutions to the drift-flux system for general pressure laws
Hai-Liang Li, Ling-Yun Shou
The initial value problem to the multi-dimensional drift-flux model for two-phase flow is investigated in this paper, and the global existence of weak solutions with finite energy…
Global weak solutions for compressible Navier-Stokes-Vlasov-Fokker-Planck system
Hai-Liang Li, Ling-Yun Shou
The one-dimensional compressible Navier-Stokes-Vlasov-Fokker-Planck system with density-dependent viscosity and drag force coefficients is investigated in the present paper. The ex…
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…