Summary: The goal of this course is to provide an introduction to the modeling and the mathematical analysis of fluid flows, and more particularly flows in the so-called "shallow water" regime. This regime is relevant for the modeling of coastal flow, rivers, avalanches, etc.
The second part of the course will be dedicated to the mathematical analysis of the one-dimensional shallow water (or Saint Venant) equations. We will therefore introduce the main notions associated to the class of hyperbolic systems of conservation laws, which is the class the shallow water equations fall into. Finally, we will address issues related to the numerical discretization of the shallow water equations.

Invited lecturer: Prof Charlotte Perrin (Université Aix Marseille, France)

Registration deadline: 1 July 2022

Contact: With any questions or comments, please contact one of the organizers.

Organizing Committee:tee:

• Patrick M Tchepmo Djomegni (North-West University, South Africa; 30599946@nwu.ac.za)

• Mahamat S Daoussa Haggar (University of N'Djamena, Chad; msdhaggar@gmail.com)

Scientific Committee:tee:

• Sanne Ter Horst (North West University, South Africa)

• Mahamat S Daoussa Haggar (University of N'Djamena, Chad)

• Patrick M Tchepmo Djomegni (North West University, South Africa)