Electronic Journal of Differential Equations, Vol. 1993(1993), No. 06, pp. 1-25.

Title: Analysis for a Molten Carbonate Fuel Cell

Authors: C. J. van Duijn (Delft Univ. of Technolog, The Netherlands) 
         J. D. Fehribach (Worcester Polytechnic Inst., Worcester, MA, USA)	

Abstract: In this paper we analyze a planar model
for a molten carbonate electrode of a fuel cell.
The model consists of two coupled second-order ordinary 
differential equations, one for the concentration of the
reactant gas and one for the potential. Restricting 
ourselves to the case of a positive reaction order
in the Butler-Volmer equation, we consider existence, 
uniqueness, various monotonicity properties,
and an explicit approximate solution for the model.
We also present an iteration scheme to obtain solutions,
and we conclude with a few numerical examples.

Submitted July 28, 1993. Published October 19, 1993.
Math Subject Classification: 80A30, 34A45, 34A46.
Key Words: Electrochemistry; fuel Cells; Butler-Volmer equation; 
           deadcore; existence; uniqueness and approximate solutions.