Research description :
My research currently focuses on understanding better the dead-water phenomenon, which was the topic of my Master's thesis. It is a very visual problem (video link). My goal is to understand mathematicaly the generation and the breaking of the interfacial wave, aswell as describing the dynamics of the boat, that is the system as stake couples an ODE for the boat and a PDE for the fluid dynamics. More precisely, I am working to adapt the formalism developped by David Lannes in his article on the floating structures.
- Uniqueness for fractional nonsymmetric diffusion equations and an application to an inverse source problem (Daijun Jiang, Zhiyuan Li, Matthieu Pauron, Masahiro Yamamoto) - https://arxiv.org/abs/2103.01692