Global Stability of Solutions of an Electrochemistry Model with a Single Reaction
Commun. Korean Math. Soc. 1999 Vol. 14, No. 2, 429-440
Eu Hee Kim
Dongguk University
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 : Lyapunov functional, Sobolev imbedding theorem
MSC numbers : 35K60
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