Jessie Levillain

I have obtained my PhD in September 2024. It took place at CMAP (applied mathematics lab in École polytechnique), under the supervision of François Alouges and Aline Lefebvre-Lepot.

I study partial differential equations and numerical methods, and I also focus on optimizing numerical simulations, applied to swimming at the microscopic scale. One of my goals is to understand and model both micro-swimmers, and the even more microscopic mechanisms enabling them to swim. I have an interest in various types of micro-swimmers, ranging from living ones such as bacteria, algae or spermatozoa, to mathematical toy-models. More broadly, I like learning more about optimizing and controlling these systems, in particular linked to creating micro-robots with medical applications. When it comes to the numerical aspect, I perform and optimize computationally expensive simulations on larger-scale problems applied to physics as well, such as wireless power transfer for electric vehicles. Moreover, the methods used in this last aspect of my work are also widely applicable to fluid-structure simulations for micro-swimmers.