WIAS Preprint No. 428, (1998)

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



Authors

  • Glitzky, Annegret
  • Hünlich, Rolf

2010 Mathematics Subject Classification

  • 35K57 78A35 35D05 35B45

Keywords

  • Reaction-diffusion systems, higher order reactions, drift-diffusion processes, motion of charged particles, global estimates, existence, uniqueness, asymptotic behaviour

Abstract

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.

Appeared in

  • Math. Nachr., 216(2000), pp. 95-118

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