16 citations · 16 across the 2 of their papers we have counts for
4 papers
Basic and extendable framework for effective charge transport in electrochemical systems
Jeta Molla, Markus Schmuck
We consider basic and easily extendible transport formulations for lithium batteries consisting of an anode (Li-foil), a separator (polymer electrolyte), and a composite cathode (c…
Recent advances in the evolution of interfaces: thermodynamics, upscaling, and universality
M. Schmuck, G. A. Pavliotis, S. Kalliadasis
We consider the evolution of interfaces in binary mixtures permeating strongly heterogeneous systems such as porous media. To this end, we first review available thermodynamic form…
Rate of Convergence of General Phase Field Equations towards their Homogenized Limit
M. Schmuck, S. Kalliadasis
Over the last few decades, phase-field equations have found increasing applicability in a wide range of mathematical-scientific fields (e.g. geometric PDEs and mean curvature flow,…
New porous medium Poisson-Nernst-Planck equations for strongly oscillating electric potentials
Markus Schmuck
We consider the Poisson-Nernst-Planck system which is well-accepted for describing dilute electrolytes as well as transport of charged species in homogeneous environments. Here, we…