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

R. Bader and W. Merz

Abstract and Applied Analysis, 2001, vol. 6, 1-22

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:816730

DOI: 10.1155/S108533750100046X

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