GLOBAL STABILITY OF SOLUTIONS OF AN ELECTROCHEMISTRY MODEL WITH A SINGLE REACTION

  • Kim, Eu-Hee (Research Institute for Natural Science Dongguk University)
  • Published : 1999.04.01

Abstract

In this paper an electrochemistry model which consists of three charged species is considered. A dissociation-association reaction is allowed to take place between these species. The species of ions diffuse owing to concentration gradients and migrate because of electric forces. We prove that any initial distribution of species concentrations will settle down to the unique steady state as time becomes large.

Keywords

References

  1. Existence and uniqueness of positive steady-state solutions of an electrochemistry model with a single reaction, (submitted). D. Chae;E. Kim
  2. IMA J. Applied Mathematics v.50 Long time behavior of solutions of an electrophoretic model with a single reacton Y. S. Choi;R. Lui
  3. Arch. Rational Mech. Anal. v.130 no.4 Multi-dimensional electrochemistry model
  4. J. of Natural Science, RINS v.2 Local existence and uniqueness of time-dependent solutions for a system of diffusion-migration-reaction equations E. Kim
  5. Translations of Mathematical Monographs. v.23 Linear and Quasilinear Equations of Parabolic Type O. A. Ladyzenskaja;V. A. Solonnikov;N. N. Ural'ceva
  6. AICHE JI v.32 Theory of electrophoretic separations, Parts Ⅰand Ⅱ D. A. Saville;O. A. Palusinski