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

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  • R. Bader
  • W. Merz

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.

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Handle: RePEc:wly:jnlaaa:v:6:y:2001:i:1:p:13-34
DOI: 10.1155/S108533750100046X
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