TFE · Investigation of mathematical models for thin-film flows

This research project will bring together Dr Roman Taranets, an outstanding young researcher at the Ukrainian National Academy of Sciences, and Professor John King, a leading expert in the theory of thin film flows at Nottingham University, UK. The research will be focussed on flows of thin liquid and polymer films. The combination of Dr Taranets’ background in research methods for the rigorous investigation of the qualitative properties of solutions to nonlinear partial differential equations and the host’s expertise in formal asymptotic methods and contacts with a range of industry-driven applications will be an ideal basis for a successful fellowship.During the research project, we will• study exact asymptotic behaviour travelling wave solutions for the thin film equation with non-zero contact angles