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Existence and stability of shock profiles for a one-dimensional full compressible Navier--Stokes--Poisson equations
Yeping Li, Yuan Yuan
This paper studies the existence and asymptotic stability of traveling shock waves for the one-dimensional full compressible Navier--Stokes--Poisson equations, which model viscous…
Nonlinear Stability of Taylor-Couette Flows with Heat Buoyancy
Yeping Li, Gaofeng Wang, Tianfang Wu
This paper investigates the nonlinear stability of Taylor-Couette (TC) flows incorporating the thermal buoyancy within an annular domain characterized by small viscosity and th…
Hydrodynamic limit of the Vlasov-Poisson-Boltzmann system for gas mixture
Yeping Li, Gaofeng Wang, Tianfang Wu
In this paper, we study the hydrodynamic limit of the Vlasov-Poisson-Boltzmann system for a gas mixture in the whole space with the potential range of $γ\in\…
Asymptotic stability of shock profiles and rarefaction waves to the Navier-Stokes-Poisson system under space-periodic perturbations
Yeping Li, Yu Mei, Yuan Yuan
This paper concerns with the large-time behaviors of the viscous shock profile and rarefaction wave under initial perturbations which tend to space-periodic functions at infinities…
Asymptotic stability of viscous shock profiles for the 1D compressible Navier-Stokes-Korteweg system with boundary effect
Zhengzheng Chen, Yeping Li, Mengdi Sheng
This paper is concerned with the time-asymptotic behavior of strong solutions to an initial-boundary value problem of the compressible Navier-Stokes-Korteweg system on the half lin…