Abstract and Applied Analysis

Abstract and Applied Analysis / 2001 / Article

Open Access

Volume 6 |Article ID 816730 | https://doi.org/10.1155/S108533750100046X

R. Bader, W. Merz, "Local existence result of the single dopant diffusion including cluster reactions of high order", Abstract and Applied Analysis, vol. 6, Article ID 816730, 22 pages, 2001. https://doi.org/10.1155/S108533750100046X

Local existence result of the single dopant diffusion including cluster reactions of high order

Received07 Feb 2001

Abstract

We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions. The model includes a nonlinear system of reaction-drift-diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic equation for the electrochemical potential. The local existence result is based on the fixed point theorem of Schauder.

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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