Modellierung PDEs


Mathematical Models in Science and Engineering (PDEs), SS 2014

Hossein Gorji, Neeraj Sarna

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

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 modeling from the physical concept, the mathematical equation up to a concrete result.

Info

The structure of the class will be 3 hours of lectures and 1 hour of tutorial each week.


Last modified: 2016/09/06 22:06