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 H1.
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