Existence of weak solutions to a class of degenerate semiconductor equations modeling avalanche generation
type: Item
instance of: scholarly article
title: Existence of weak solutions to a class of degenerate semiconductor equations modeling avalanche generation
zbMATH Open document ID: 1185.35276
DOI: 10.1155/2009/873683
author: Bin Wu
published in: Mathematical Problems in Engineering
publication date: 2009-11-13T00:00:00Z
full work available at URL: https://eudml.org/doc/45912
review text: Summary: We consider the drift-diffusion model with avalanche generation for evolution in time of electron and hole densities \(n, p\) coupled with the electrostatic potential \(\psi \) in a semiconductor device. We also assume that the diffusion term is degenerate. The existence of local weak solutions to this Dirichlet-Neumann mixed boundary value problem is obtained.
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 82D37
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 5632554
zbMATH Keywords: degenerate semiconductor equation
zbMATH Keywords: avalanche generation
zbMATH Keywords: drift-diffusion model
zbMATH Keywords: weak solutions
Wikidata QID: Q58649533
MaRDI profile type: Publication
OpenAlex ID: W2122656488
cites work: An Asymptotic Analysis of One-Dimensional Models of Semiconductor Devices
cites work: On the time-dependent drift-diffusion model for semiconductors
cites work: Global solutions of the time-dependent drift-diffusion semiconductor equations
cites work: On Existence, Uniqueness and Asymptotic Behavior of Solutions of the Basic Equations for Carrier Transport in Semiconductors
cites work: Q4023822
cites work: Q4869443
cites work: Existence of weak solutions to a degenerate time-dependent semiconductor equations with temperature effect
cites work: ON THE EXISTENCE AND UNIQUENESS OF TRANSIENT SOLUTIONS OF A DEGENERATE NONLINEAR DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS
cites work: On a quasilinear degenerate system arising in semiconductors theory. I: Existence and uniqueness of solutions
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description: scientific article; zbMATH DE number 5632554