On Cahn-Hilliard models with singular potentials and source terms

In this project, we plan to expand the scope of the analysis for new Cahn-Hilliard models with singular potentials and source terms for recent applications in modelling the growth of tumours and in repairing damaged black-and-white images (also known as inpainting), by investigating the issues of uniqueness and regularity of solutions, as well as addressing the existence of stationary solutions analytically and also numerically.