Galilean Bulk-Surface Electrothermodynamics and Applications to Electrochemistry.

In this work, the balance equations of non-equilibrium thermodynamics are coupled to Galilean limit systems of the Maxwell equations, i.e., either to (i) the quasi-electrostatic limit or (ii) the quasi-magnetostatic limit.

Mathematical modeling of intercalation batteries at the cell level and beyond.

Mathematical modeling of lithium ion batteries is a key feature for a profound understanding of the whole spectrum of phenomena occurring in such electrochemical systems. Due to their inherent multi-scale nature, batteries cannot be described with a single equation. It is necessary to couple the physical chemistry, reaction kinetics, ion flow, heat generation, et cetera, appropriately to obtain a coupled set of equations (a model) which has predictive efficiency.

An advanced model framework for solid electrolyte intercalation batteries.

Recent developments of solid electrolytes, especially lithium ion conductors, led to all solid state batteries for various applications. In addition, mathematical models sprout for different electrode materials and battery types, but are missing for solid electrolyte cells. We present a mathematical model for ion flux in solid electrolytes, based on non-equilibrium thermodynamics and functional derivatives.