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 - Publication in refereed journal › peer-review
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Detail(s)
Original language | English |
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Pages (from-to) | 1495–1528 |
Number of pages | 34 |
Journal / Publication | Science China Mathematics |
Volume | 66 |
Issue number | 7 |
Online published | 8 Feb 2023 |
Publication status | Published - Jul 2023 |
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DOI | DOI |
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Attachment(s) | Documents
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Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-85147775071&origin=recordpage |
Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(10bbca56-205f-4530-b03c-1a36ab080fa8).html |
Abstract
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
Citation Format(s)
Singular limits for the Navier-Stokes-Poisson equations of the viscous plasma with the strong density boundary layer. / Ju, Qiangchang; Luo, Tao; Xu, Xin.
In: Science China Mathematics, Vol. 66, No. 7, 07.2023, p. 1495–1528.
In: Science China Mathematics, Vol. 66, No. 7, 07.2023, p. 1495–1528.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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