Solutions to a Nonlinear Drift-Diffusion Model of Semiconductors

Weifu Fang; Kazufumi Ito

doi:article/6fa16fd068e44d8bbe688f1e49314fc2

Solutions to a Nonlinear Drift-Diffusion Model of Semiconductors

Weifu Fang, Kazufumi Ito

Wright State University

Research output: Contribution to journal › Article › peer-review

Abstract

A nonlinear drift-diffusion model for semiconductors is analyzed to show the existence of non-vacuum global solutions and stationary solutions. The long time behavior of the solutions is studied by establishing the existence of an absorbing set and a compact attractor of the dynamical system. Parallel results on vacuum solutions are also obtained under weaker conditions on model parameters.

Original language	American English
Journal	Electronic Journal of Differential Equations
Volume	1999
DOIs	https://doi.org/article/6fa16fd068e44d8bbe688f1e49314fc2
State	Published - May 10 1999

Keywords

Drift-diffusion model
attractors
degenerated parabolic and elliptic equations
nonlinear diffusion
semiconductors

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title = "Solutions to a Nonlinear Drift-Diffusion Model of Semiconductors",

abstract = " A nonlinear drift-diffusion model for semiconductors is analyzed to show the existence of non-vacuum global solutions and stationary solutions. The long time behavior of the solutions is studied by establishing the existence of an absorbing set and a compact attractor of the dynamical system. Parallel results on vacuum solutions are also obtained under weaker conditions on model parameters.",

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AU - Fang, Weifu

AU - Ito, Kazufumi

PY - 1999/5/10

Y1 - 1999/5/10

N2 - A nonlinear drift-diffusion model for semiconductors is analyzed to show the existence of non-vacuum global solutions and stationary solutions. The long time behavior of the solutions is studied by establishing the existence of an absorbing set and a compact attractor of the dynamical system. Parallel results on vacuum solutions are also obtained under weaker conditions on model parameters.

AB - A nonlinear drift-diffusion model for semiconductors is analyzed to show the existence of non-vacuum global solutions and stationary solutions. The long time behavior of the solutions is studied by establishing the existence of an absorbing set and a compact attractor of the dynamical system. Parallel results on vacuum solutions are also obtained under weaker conditions on model parameters.

KW - Drift-diffusion model

KW - attractors

KW - degenerated parabolic and elliptic equations

KW - nonlinear diffusion

KW - semiconductors

UR - https://corescholar.libraries.wright.edu/math/445

U2 - article/6fa16fd068e44d8bbe688f1e49314fc2

DO - article/6fa16fd068e44d8bbe688f1e49314fc2

M3 - Article

VL - 1999

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Solutions to a Nonlinear Drift-Diffusion Model of Semiconductors

Abstract

Keywords

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