LE STUDIUM / Marie Skłodowska-Curie Research Fellowship
In residence at
Prof. Magali Ribot
Numerical simulation of singular conservation laws and related applications
Several phenomena in physics, biology or fluid mechanics are classically modelled by hyperbolic systems of conservation laws. In realistic applications, such as hydrology and chemotaxis, stiff source terms and nonconservative products arise in the equations. This leads to serious numerical challenges concerning efficiency and stability of the numerical simulations. The aim of the project is to take the opportunity to implement a new numerical method developed by the applicant in the models used in the MAPMO laboratory, in which a team works specifically on hydrology and chemotaxis.