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On the Existence of a Weak Solution of a Half-Cell Model for PEM Fuel Cells

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  • Shuh-Jye Chern
  • Po-Chun Huang

Abstract

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 Zhou and Liu (2000, 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 ð » 1 .

Suggested Citation

  • Shuh-Jye Chern & Po-Chun Huang, 2010. "On the Existence of a Weak Solution of a Half-Cell Model for PEM Fuel Cells," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-16, June.
    • Handle: RePEc:hin:jnlmpe:701096
    DOI: 10.1155/2010/701096
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