Numerical methods in fluid mechanics, mathematical epidemiology and reaction-diffusion systems

This ERC aims to deliver to young mathematicians from Senegal and other neighboring countries a triple purpose.

The first objective will focus on state of the art numerical methods (Finite volume, Finite Element, Discontinuous Galerkin) with applications in environmental fluid mechanics. The lectures and tutorial classes via computers will be inspired by the challenges that the West African countries encounters in terms of numerical simulation : sediment transport with applications to rivers ans coastal areas (Senegal river), urban hydrology, pollutant transport etc...

A second part of the ERC is dedicated to mathematical epidemiology aspects, particularly to the spatiotemporal dynamics of infectious diseases and the starting of a methodology aiming to construct deterministic mathematical models to simulate the propagation of epidemics. Numerous models will be examined, particularly those concerning malaria, bilharziose, HBV infection, West Nile Virus and Saint-Louis Encephalitis.

Finally, in interaction with the first two components of this ERC, reaction-diffusion systems will be discussed, as they are involved in numerous physical phenomena modelling. The scientific challenge of such systems are more and more significant, including chemistry, ecology, environmental sciences, Population dynamics and medecine.

By aiming to bring together researchers in the domain of fluid mechanics, mathematical epidemiology and réaction-diffusion systems, this ERC proposes an ideal environment to address coupling problems and the numerical treatment of the underlying equations in these areas.