19 papers · 1 filter
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…