Masterseminar Mathematical modelling and analysis of rarefied gases - Einzelansicht

If one wants to model the time evolution of a gas, there are different possibilities to do this. One is to imagine that the gas consists of a lot of particles and describe the time evolution of the position and velocity of each particle (microscopic description). Another ansatz is to describe the gas by macroscopic averaged quantities as density, mean velocity and temperature (macroscopic description). But there is also a third possibility introduced by Boltzmann. Here, one still uses an averaged description, so it is not necessary to follow each single particle, but where it is still possible to take into account the effect of the type interactions od the particles (kinetic description). This description, for example, is used in a plasma. In this seminar, we will consider basic concepts in the theory for kinetic equations and the relationship to the other types of descriptions.

Some background on partial differential equations will be helpful, but is not required.