Electro–Reaction–Diffusion Systems Including Cluster Reactions of Higher Order
✍ Scribed by Annegret Glitzky; Rolf Hünlich
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 293 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
In this paper we consider electro -reaction -diffusion systems modelling the transport of charged species in two -dimensional heterostructures. Our aim is to investigate the case that besides of reactions with source terms of at most second order so called cluster reactions of higher order are involved. We prove the unique solvability of the model equations and show the global boundedness and asymptotic properties of the solution. In order to get necessary a priori estimates we apply an anisotropic iteration scheme followed by usual Moser iterations. Then existence is obtained by cutting off the reaction terms.