#### Modeling PDEs

# Mathematical Modeling with PDEs

**Prof. Dr. Manuel Torrilhon**

A class for students of CES and Mathematics, as well as everybody interested.

The course will be offered again in WS 21/21

#### Intention

The class presents a cohesive mathematical derivation and discussion of different partial differential equations as models for technical and physical processes. Basic framework will be the balance laws of mass, momentum and energy, as well as the Maxwell equations. Different constitutive material laws will yield different models.

We will consider among others: solid mechanics, fluid and gas dynamics, chemical reactions, magnetohydrodynamics. As application examples we study models for rubber, earthquakes, flames, shock waves, electric arcs, etc.

The aim is to view the connections of relevant PDEs in applied mathematics and master the process of modelling from the physical concept the mathematical equation up to a concrete result.