2013/09/12 by Tomas Roubicek, Giuseppe Tomassetti, Roubicek, Tomas +1
Mathematics · Physics and Astronomy · #35Q74 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mathematical Physics (math-ph) #cond-mat.mtrl-sci #math-ph #math.AP #math.MP #msc:35Q74
paper · pdf · doi:10.48550/arxiv.1309.3227
arxiv created 2013/09/12 · arxiv updated 2013/09/13
A thermodynamically consistent mathematical model for hydrogen adsorption in metal hydrides is proposed. Beside hydrogen diffusion, the model accounts for phase transformation accompanied by hysteresis, swelling, temperature and heat transfer, strain, and stress. We prove existence of solutions of the ensuing system of partial differential equations by a carefully-designed, semi-implicit approximation scheme. A generalization for a drift-diffusion of multi-component ionized "gas" is outlined, too.