I visited Imperial College as an ICL-CNRS Fellow from 1st February 2019 to 28th July 2019. Broadly speaking, I am working on fluid dynamics problem with a combination of formal, analytical and numerical methods. In particular, I am interested by the dynamic of thin films flows in various situations with applications to geophysical flows (rivers, ocean) or industrial processes.
During my stay, I had the opportunity to work with D. Papageorgiou on new type of flows, namely thin film flows driven by electromagnetic fields that are involved into various engineering processes. We focused on the existence and stability of periodic and solitary waves that are building blocks of more complex dynamics. With a combination of applied dynamical systems tools and multiscale expansions, we introduced a hierarchy of models which encodes the stability of such elementary waves. A connected problem concerns the interaction of solitary waves: the purpose is to understand how an array of solitary waves behaves in thin film flows. In this direction, I started a collaboration with S. Kalliadasis and his collaborators.
This visit was also an opportunity to work on a new challenging problem, namely the emergence of patterns in erosion processes with P. Degond. It was very interesting to consider mescoscopic models in the context of hydrodynamic problems.
I plan to keep these collaborations active in the future. The ICL Maths department is an incredible place both challenging and inspiring, and living several months in the centre of London was also a wonderful experience.
Host: Professor Demetrios Papageorgiou
