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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| _version_ | 1832551303079788544 |
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| author | R. Bader W. Merz |
| author_facet | R. Bader W. Merz |
| author_sort | R. Bader |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0e6a024c57c04c0a8b308f034d773182 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0e6a024c57c04c0a8b308f034d7731822025-02-03T06:01:47ZengWileyAbstract and Applied Analysis1085-33751687-04092001-01-0161133410.1155/S108533750100046XLocal existence result of the single dopant diffusion including cluster reactions of high orderR. Bader0W. Merz1Technische Universität München, Zentrum Mathematik, Arcisstr, München 21, 80290, GermanyTechnische Universität München, Zentrum Mathematik, Arcisstr, München 21, 80290, GermanyWe 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.http://dx.doi.org/10.1155/S108533750100046X |
| spellingShingle | R. Bader W. Merz Local existence result of the single dopant diffusion including cluster reactions of high order Abstract and Applied Analysis |
| title | Local existence result of the single dopant diffusion including
cluster reactions of high order |
| title_full | Local existence result of the single dopant diffusion including
cluster reactions of high order |
| title_fullStr | Local existence result of the single dopant diffusion including
cluster reactions of high order |
| title_full_unstemmed | Local existence result of the single dopant diffusion including
cluster reactions of high order |
| title_short | Local existence result of the single dopant diffusion including
cluster reactions of high order |
| title_sort | local existence result of the single dopant diffusion including cluster reactions of high order |
| url | http://dx.doi.org/10.1155/S108533750100046X |
| work_keys_str_mv | AT rbader localexistenceresultofthesingledopantdiffusionincludingclusterreactionsofhighorder AT wmerz localexistenceresultofthesingledopantdiffusionincludingclusterreactionsofhighorder |