Singular limits for the Navier-Stokes-Poisson equations of the viscous plasma with the strong density boundary layer

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

View graph of relations


Related Research Unit(s)


Original languageEnglish
Number of pages34
Journal / PublicationScience China Mathematics
Online published8 Feb 2023
Publication statusOnline published - 8 Feb 2023


The quasi-neutral limit of the Navier-Stokes-Poisson system modeling a viscous plasma with vanishing viscosity coefficients in the half-space R+3 is rigorously proved under a Navier-slip boundary condition for velocity and the Dirichlet boundary condition for electric potential. This is achieved by establishing the nonlinear stability of the approximation solutions involving the strong boundary layer in density and electric potential, which comes from the breakdown of the quasi-neutrality near the boundary, and dealing with the difficulty of the interaction of this strong boundary layer with the weak boundary layer of the velocity field. © 2023, Science China Press.

Research Area(s)

  • interaction of strong and weak boundary layers, Navier-Stokes-Poisson equations, singular limit