Local Existence Result of the Single Dopant Diffusion including Cluster Reactions of High Order

نویسندگان

  • Ralf Bader
  • Wilhelm Merz
چکیده

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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تاریخ انتشار 2001