On the existence of a weak solution of a half-cell model for PEM fuel cells (Q980644)
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scientific article; zbMATH DE number 5728510
| Language | Label | Description | Also known as |
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| English | On the existence of a weak solution of a half-cell model for PEM fuel cells |
scientific article; zbMATH DE number 5728510 |
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On the existence of a weak solution of a half-cell model for PEM fuel cells (English)
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29 June 2010
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Summary: A nonlinear boundary value problem (BVP) from the modelling of the transport phenomena in the cathode catalyst layer of a one-dimensional half-cell single-phase model for proton exchange membrane (PEM) fuel cells, derived from the 3D model of \textit{T. Zhou} and \textit{H. T. Liu} [in: Proceeding of the ASME Heat Transfer Division, 43--49, Orlando, Fla, USA, 2000 (2000); Int. J. Transport Phenomena 3, No.~3, 177--198 (2001)], is studied. It is a BVP for a system of three coupled ordinary differential equations of second order. Schauder's fixed point theorem is applied to show the existence of a solution in the Sobolev space \(H^{1}\).
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