The zero-electron-mass limit in the Euler–Poisson system for both well- and ill-prepared initial data

Nonlinearity ◽  
2011 ◽  
Vol 24 (10) ◽  
pp. 2745-2761 ◽  
Author(s):  
Giuseppe Alì ◽  
Li Chen
Keyword(s):  
Initial Data ◽  
Electron Mass ◽  
Poisson System ◽  
Mass Limit

Vanishing electron mass limit in the bipolar Euler–Poisson system

2011 ◽  
Vol 12 (2) ◽  
pp. 1002-1012 ◽  
Author(s):  
Li Chen ◽  
Xiuqing Chen ◽  
Chunlei Zhang
Keyword(s):  
Electron Mass ◽  
Poisson System ◽  
Mass Limit

scholarly journals On the Vanishing Electron-Mass Limit in Plasma Hydrodynamics in Unbounded Media

2012 ◽  
Vol 22 (6) ◽  
pp. 985-1012 ◽  
Author(s):  
Donatella Donatelli ◽  
Eduard Feireisl ◽  
Antonín Novotný
Keyword(s):  
Electron Mass ◽  
Mass Limit ◽  
Unbounded Media ◽  
Plasma Hydrodynamics

scholarly journals Zero-electron-mass limit of Euler-Poisson equations

2013 ◽  
Vol 33 (10) ◽  
pp. 4743-4768 ◽  
Author(s):  
Jiang Xu ◽  
◽  
Ting Zhang ◽  
Keyword(s):  
Electron Mass ◽  
Mass Limit ◽  
Poisson Equations

scholarly journals Convergence from two-species Vlasov-Poisson-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Poisson system

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Zhendong Fang ◽  
Hao Wang
Keyword(s):  
Initial Data ◽  
Knudsen Number ◽  
Navier Stokes ◽  
Classical Solutions ◽  
Poisson System ◽  
Small Initial Data ◽  
Uniform Estimates ◽  
Poisson Boltzmann ◽  
Two Fluid

<p style='text-indent:20px;'>In this paper, we obtain the uniform estimates with respect to the Knudsen number <inline-formula><tex-math id="M1">\begin{document}$ \varepsilon $\end{document}</tex-math></inline-formula> for the fluctuations <inline-formula><tex-math id="M2">\begin{document}$ g^{\pm}_{\varepsilon} $\end{document}</tex-math></inline-formula> to the two-species Vlasov-Poisson-Boltzmann (in briefly, VPB) system. Then, we prove the existence of the global-in-time classical solutions for two-species VPB with all <inline-formula><tex-math id="M3">\begin{document}$ \varepsilon \in (0,1] $\end{document}</tex-math></inline-formula> on the torus under small initial data and rigorously derive the convergence to the two-fluid incompressible Navier-Stokes-Fourier-Poisson (in briefly, NSFP) system as <inline-formula><tex-math id="M4">\begin{document}$ \varepsilon $\end{document}</tex-math></inline-formula> go to 0.</p>

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