Analysis of weak solutions for the phase-field model for lithium-ion batteries

We study a phase-field model for lithium-ion batteries of olivine LiFePO4. During electrochemical cycling the fundamental behavior of the crystal is the diffusion of Li which controls the movement of the phase boundary without changing the olivine topology. This model with diffusive phase interfaces consists of two nonlinear parabolic equations of second order. We first prove the existence of global solutions to an initial-boundary value problem of this model. Numerical experiments of the model are then performed to simulate the evolution of lithium concentration and of phase interfaces. (C) 2019 Elsevier Inc. All rights reserved.