Electro-reaction-diffusion systems including cluster reactions of higher order

Citation
A. Glitzky et R. Hunlich, Electro-reaction-diffusion systems including cluster reactions of higher order, MATH NACHR, 216, 2000, pp. 95-118
Citations number
19
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
216
Year of publication
2000
Pages
95 - 118
Database
ISI
SICI code
0025-584X(2000)216:<95:ESICRO>2.0.ZU;2-T
Abstract
In this paper we consider electro-reaction-diffusion systems modelling the transport of charged species in two-dimensional heterostructures. Our aim i s 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 globa l boundedness and asymptotic properties of the solution. In order to get ne cessary a priori estimates we apply an anisotropic iteration scheme followe d by usual Moser iterations. Then existence is obtained by cutting off the reaction terms.