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Electro-reaction-diffusion systems with nonlocal constraints

✍ Scribed by A. Glitzky

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
430 KB
Volume
277
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

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)

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