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

The zero-electron-mass limit in the hydrodynamic model for plasmas

2010 ◽  
Vol 72 (12) ◽  
pp. 4415-4427 ◽  
Author(s):  
Giuseppe Alì ◽  
Li Chen ◽  
Ansgar Jüngel ◽  
Yue-Jun Peng
Keyword(s):  
Hydrodynamic Model ◽  
Electron Mass ◽  
Mass Limit

ASYMPTOTIC EXPANSIONS IN A STEADY STATE EULER–POISSON SYSTEM AND CONVERGENCE TO INCOMPRESSIBLE EULER EQUATIONS

2005 ◽  
Vol 15 (05) ◽  
pp. 717-736 ◽  
Author(s):  
YUE-JUN PENG ◽  
INGRID VIOLET
Keyword(s):  
Steady State ◽  
Euler Equations ◽  
Asymptotic Expansions ◽  
Electron Mass ◽  
Poisson System ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
Incompressible Euler Equations ◽  
Potential Flows ◽  
Incompressible Euler

This work is concerned with a steady state Euler–Poisson system for potential flows arising in mathematical modeling for plasmas and semiconductors. We study the zero electron mass limit and zero relaxation time limit of the system by using the method of asymptotic expansions. These two limits are expressed by the Maxwell–Boltzmann relation and the classical drift-diffusion model, respectively. For each limit, we show the existence and uniqueness of profiles and justify the asymptotic expansions up to any order. These results also give new approaches for the convergence of the Euler–Poisson system to incompressible Euler equations, which has already been obtained via the quasi-neutral limit.

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