Open AccessConvergence from two-species Vlasov-Poisson-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Poisson system
Author(s) -
Zhendong Fang,
Hao Wang
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021231
Subject(s) - mathematics , torus , convergence (economics) , combinatorics , mathematical analysis , geometry , economics , economic growth
In this paper, we obtain the uniform estimates with respect to the Knudsen number \begin{document}$ \varepsilon $\end{document} for the fluctuations \begin{document}$ g^{\pm}_{\varepsilon} $\end{document} to the two-species Vlasov-Poisson-Boltzmann (in briefly, VPB) system. Then, we prove the existence of the global-in-time classical solutions for two-species VPB with all \begin{document}$ \varepsilon \in (0,1] $\end{document} on the torus under small initial data and rigorously derive the convergence to the two-fluid incompressible Navier-Stokes-Fourier-Poisson (in briefly, NSFP) system as \begin{document}$ \varepsilon $\end{document} go to 0.