# Seminar

## On the approximation of hyperbolic problems, the example of fluid mechanics"

### Thursday, November 27, 2014 5:00 PM;

JGU Mainz, Mathematics, Hilbert-Raum

Speaker: Rémi Abgrall; Universität Zürich

In this talk, my goal is to show, on one example, how the relations be-
tween Physics and Mathematics can be translated to describe some numerical
methods, and exploited for their analysis. I want also to show what can be the
impact of (applied) Computer Science in this.
I will first explain from physical arguments where the system of partial differen-
tial equations that describes fluid flows comes from. In particular, I will explain
and recall what are the connections between thermodynamical considerations
and deep mathematical properties of the system. Then, I will describe some
ways to approximate this system, what are the issues and how they can be cor-
rected again by copying the physics (or the mathematics at a continuous level).
I will also show how the structure of computer have had a deep impact on the
field, from the very beginning up to recent research. I will finish by some recent
developments in the field.

## Calendar

## Contact

- Scientific Coordinator of the TRR 146
- Dr. Giovanni Settanni
- Staudingerweg 9
- D-55128 Mainz
- trr146oFwuGcvJH.@VkZTkVovBSRuni-mainz.de