Electron.n. J. Diff. Eqns. Vol. 1993(1993), No. 06, pp. 1-25.
C. J. van Duijn & Joseph D. Fehribach
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: Electron.n.chemistry, Fuel Cells, Butler-Volmer Equation, Deadcore, Existence, Uniqueness and Approximate Solutions.
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| C. J. van Duijn|
Faculty of Technical Mathematics, Delft University of Technology
P.O. Box 5031, 2600 GA DELFT, The Netherlands
|Joseph D. Fehribach|
Department of Mathematical Sciences
Worcester Polytechnic Institute
100 Institute Rd.
Worcester, MA 01609-2247, USA