A Mathematical Exploration of a PDE System for Lithium-Ion Batteries
- Author(s): Kroener, Christoph
- Advisor(s): Evans, Lawrence C
- et al.
In this thesis, we explore some mathematical properties of the electro-chemical model for lithium-ion batteries, which is a nonlinear system of algebraically coupled diffusion equations. We prove a local existence and uniqueness theorem. Furthermore, we prove the asymptotic stability of a modified version, the so called Single Particle Model for several materials.