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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.

Suggested Citation

  • R. Bader & W. Merz, 2001. "Local existence result of the single dopant diffusion including cluster reactions of high order," Abstract and Applied Analysis, Hindawi, vol. 6, pages 1-22, January.
    • Handle: RePEc:hin:jnlaaa:816730
    DOI: 10.1155/S108533750100046X
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