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Quasi-neutral limit for the Euler–Poisson system in the presence of plasma sheaths with spherical symmetry

Mathematical Models and Methods in Applied Sciences, 2016
The purpose of this paper is to mathematically investigate the formation of a plasma sheath near the surface of a ball-shaped material immersed in a bulk plasma, and to obtain qualitative information of such a plasma sheath layer. Specifically, we study existence and the quasi-neutral limit behavior of the stationary spherical symmetric solutions for ...
Jung, Chang-Yeol, Kwon, Bongsuk, Suzuki, Masahiro   +2 more
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The Mixed Layer Problem and Quasi-Neutral Limit of the Drift-Diffusion Model for Semiconductors

SIAM Journal on Mathematical Analysis, 2012
The mixed layer problem and vanishing Debye length limit (space charge neutral limit) of the bipolar time-dependent drift-diffusion model for semiconductors with p-n junctions are studied in one space dimension. For the general sign-changing doping profile and the general initial data, the quasi-neutral limit is proven rigorously by constructing a more
Shu Wang
exaly   +2 more sources

Quasi-neutral limit for the full Euler–Poisson system in one-dimensional space

Nonlinear Analysis: Real World Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shuzhen Zhang
exaly   +2 more sources

Quasi-neutral Limit of the Drift Diffusion Models for Semiconductors: The Case of General Sign-Changing Doping Profile

SIAM Journal on Mathematical Analysis, 2006
In this paper the vanishing Debye length limit (space charge neutral limit) of bipolar time-dependent drift-diffusion models for semiconductors with p-n junctions (i.e., with a fixed bipolar background charge) is studied in one space dimension. For general sign-changing doping profiles, the quasi-neutral limit (zero-Debye-length limit) is justified ...
Shu Wang, Peter A Markowich
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Quasi-neutral limit of the Isothermal Naiver–Stokes–Poisson with boundary

Applied Mathematics Letters, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiangchang Ju, Yong Li, Tiantian Yu
openaire   +1 more source

Quasi-Neutral Limit for Euler-Poisson System

Journal of Nonlinear Science, 2001
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Marshall Slemrod, Natalia Sternberg
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Quasi-Neutral Limit for a Model of Viscous Plasma

Archive for Rational Mechanics and Analysis, 2010
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Feireisl, E. (Eduard), Zhang, P.
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A Quasi-Neutral Limit in a Hydrodynamic Model for Charged Fluids

Monatshefte f�r Mathematik, 2003
This paper considers the combined quasineutral and relaxation time limit for a bipolar hydrodynamic model. The limit problem is shown to lead to a nonlinear diffusion equation that describes a neutral fluid. Various entropy arguments are used, and the necessary strong convergence of the densities is obtained by using a variant of the ``div-curl'' lemma
GASSER I., MARCATI, PIERANGELO
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Quasi-neutral limit of the non-isentropic Euler–Poisson system

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2006
This paper is concerned with multi-dimensional non-isentropic Euler–Poisson equations for plasmas or semiconductors. By using the method of formal asymptotic expansions, we analyse the quasi-neutral limit for Cauchy problems with prepared initial data.
Peng, Yue-Jun, Wang, Yaguang, Yong, Wenann   +2 more
openaire   +1 more source

Quasi-neutral Limit of the Drift-Diffusion Models for Semiconductors with PN-Junctions

2009 Fifth International Conference on Natural Computation, 2009
The limit of vanishing Debye length in a bipolar drift-diffusion model for semiconductors with p-n junctions is studied in one space dimension. For general sign-changing doping profiles, the quasi-neutral limit (zero-Debye-length limit) is proved by using the asymptotic expansion methods of singular perturbation theory and the classical energy methods.
Shu Wang, Ke Wang
openaire   +1 more source