On the Existence of a Weak Solution of a Half‐Cell Model for PEM Fuel Cells | Zendy

Shuh-Jye Chern | Zendy; PoChun Huang | Zendy

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

Author(s) -

Shuh-Jye Chern,

PoChun Huang

Publication year - 2010

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2010/701096

Subject(s) - proton exchange membrane fuel cell , sobolev space , ordinary differential equation , nonlinear system , boundary value problem , fixed point theorem , mathematics , mathematical analysis , fuel cells , differential equation , physics , engineering , chemical engineering , quantum mechanics

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 1.

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