Solutions to a Nonlinear Drift-diffusion Model for Semiconductors
Date
1999-05-10
Authors
Fang, Weifu
Ito, Kazufumi
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Drift-diffusion model, Semiconductors, Nonlinear diffusion, Degenerated parabolic and elliptical equations, Attractors
Citation
Fang, W., & Ito, K. (1999). Solutions to a nonlinear drift-diffusion model for semiconductors. <i>Electronic Journal of Differential Equations, 1999</i>(15), pp. 1-38.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.