[Invited Talk] Derivation principle of BGK models

There will be an invited talk.

Title: Derivation principle of BGK models
Speaker: Prof. Stephane Brull (Univ. of Bordeaux)
Time: 2020 January 14th, 10:30am~11:20pm
Place: 27-116
Abstract:
In this talk we will present a derivation principle of BGK
models using the resolution of an entropy minimization problem.

The construction is based as on the introduction of relaxation
coefficients and a principle of entropy minimization under
constraints for moments. These free parameters are next ajusted to
transport coefficients when performing a Chapman-Engskog expansion
ip to Navier-Stokes. Firstly, the methodology will be explained and
illustrated for a monoatomic and polyatomic single gas.
Next the case of gas mixtures is considered. In this part, after
clarifying the Chapman-Engskog, a BGK model is derived. This BGK
model is proved to satisfy Fick and Newton laws. In a last part, we
will explain how to extend our model to reacting gas mixtures.