Local existence result of the single dopant diffusion including cluster reactions of high order
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 equat...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S108533750100046X |
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| Summary: | 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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| ISSN: | 1085-3375 1687-0409 |