Electro-reaction-diffusion systems with nonlocal constraints

The paper deals with equations modelling the redistribution of charged particles by reactions, drift and diffusion processes. The corresponding model equations contain parabolic PDEs for the densities of mobile species, ODEs for the densities of immobile species, a possibly nonlinear, nonlocal Poiss...

Full description

Saved in:
Bibliographic Details
Published in:Mathematische Nachrichten 2004-12, Vol.277 (1), p.14-46
Main Author: Glitzky, A.
Format: Article
Language:English
Subjects:
asymptotic behaviour
Drift-diffusion systems
energy estimates
fixed point theorems
global estimates
global existence
heterostructures
reaction-diffusion systems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The paper deals with equations modelling the redistribution of charged particles by reactions, drift and diffusion processes. The corresponding model equations contain parabolic PDEs for the densities of mobile species, ODEs for the densities of immobile species, a possibly nonlinear, nonlocal Poisson equation and some nonlocal constraints. Based on applications to semiconductor technology these equations have to be investigated for non‐smooth data and kinetic coefficients which depend on the state variables. In two space dimensions we discuss the steady states of the system, we prove energy estimates, global a priori estimates and give a global existence result. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.200310218