SEMINAIRE D'ANALYSE NUMERIQUE
Année universitaire 2010-2011


Jeudi 17 mars 2011 :  Dieter BOTHE   (Center of Smart Interfaces, Technical University Darmstadt, Germany)
Mathematical modeling of reactive multicomponent fluid systems.

We derive thermo-fluid-mechanical models for chemically reacting viscous fluid mixtures, based on rational thermodynamics. For this purpose, the resulting fundamental model - consisting of individual component balances for mass, momentum and energy - is simplified in a rigorous manner using scale separation. We consider also the special case of non-reactive mixtures where we obtain a model which we call the Navier-Stokes-Maxell-Stefan system. In the isobaric and isothermal case this is further specialized to the Maxell-Stefan equations. This system has nice mathematical properties which we will also briefly discuss.