On the smallness conditions for a PEMFC single cell problem

• Published in: Journal of engineering mathematics Vol. 150; no. 1
• Main Author: Consiglieri, Luisa
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.02.2025; Springer Nature B.V
• Subjects: Applications of Mathematics; Computational Mathematics and Numerical Analysis; Estimates; Fixed points (mathematics); High temperature effects; Mathematical and Computational Engineering; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Ohmic dissipation; Proton exchange membrane fuel cells; Resistance heating; Theoretical and Applied Mechanics; Stokes–Darcy system; Thermoelectrochemistry; 35Q35; 35Q79; 76S05; Beavers–Joseph–Saffman boundary condition; Multiregion domain; PEM fuel cell; 80A50

The aim of the present paper is to determine the conditions necessary for existence of a solution to a problem involving fuel cells. In the first part, we present the model for a proton exchange membrane fuel cell (PEMFC) single cell and we clarify the interactions of the different components namely...