Existence and zero-electron-mass limit of strong solutions to the stationary compressible Navier-Stokes-Poisson equation with large external force
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4634
Abstract: In this study, we consider a viscous compressible model of plasma and semiconductors, which is expressed as a compressible Navier-Stokes-Poisson equation. We prove that there exists a strong solution to the boundary value problem of… read more here.
Keywords: poisson equation; compressible navier; stokes poisson; electron ... See more keywords
Stability of stationary solutions for the unipolar isentropic compressible Navier–Stokes–Poisson system
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7474
Abstract: The stationary solutions to the outflow problem for unipolar isentropic Navier–Stokes–Poisson system in a half line (0, ∞) have recently been shown to be asymptotically stable in13 and26, provided that all the L2 norms of initial… read more here.
Keywords: system; stokes poisson; navier stokes; stationary solutions ... See more keywords
Convergence of the three-dimensional compressible Navier-Stokes-Poisson-Korteweg equation to the incompressible Euler equation
Sign Up to like & getrecommendations! Published in 2017 at "Wuhan University Journal of Natural Sciences"
DOI: 10.1007/s11859-017-1212-y
Abstract: We study the combination of quasi-neutral limit and viscosity limit of smooth solution for the three-dimensional compressible viscous Navier-Stokes-Poisson-Korteweg equation for plasmas and semiconductors. When the Debye length and viscosity coefficients are sufficiently small, the… read more here.
Keywords: three dimensional; stokes poisson; incompressible euler; equation ... See more keywords
A sharp time-weighted inequality for the compressible Navier–Stokes–Poisson system in the critical L framework
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.11.005
Abstract: Abstract The compressible Navier–Stokes–Poisson system takes the form of usual Navier–Stokes equations coupled with the self-consistent Poisson equation, which is used to simulate the transport of charged particles under the electrostatic potential force. In this… read more here.
Keywords: time; poisson system; sharp time; compressible navier ... See more keywords
Global solutions to compressible Navier-Stokes-Poisson and Euler-Poisson equations of plasma on exterior domains
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.07.005
Abstract: Abstract The initial boundary value problems for compressible Navier-Stokes-Poisson and Euler-Poisson equations of plasma are considered on exterior domains in this paper. With the radial symmetry assumption, the global existence of solutions to compressible Navier-Stokes-Poisson… read more here.
Keywords: compressible navier; stokes poisson; poisson euler; poisson equations ... See more keywords
Asymptotic stability of stationary waves to the Navier–Stokes–Poisson equations in half line
Sign Up to like & getrecommendations! Published in 2020 at "Applicable Analysis"
DOI: 10.1080/00036811.2020.1807006
Abstract: The main concern of this paper is to investigate the asymptotic stability of stationary solution to the compressible Navier–Stokes–Poisson equations with the classical Boltzmann relation in a half ... read more here.
Keywords: stability stationary; stokes poisson; asymptotic stability; poisson equations ... See more keywords