TY - JOUR
A1 - Pirner, Marlies
T1 - A review on BGK models for gas mixtures of mono and polyatomic molecules
T2 - Fluids
N2 - We consider the Bathnagarâ€“Grossâ€“Krook (BGK) model, an approximation of the Boltzmann equation, describing the time evolution of a single momoatomic rarefied gas and satisfying the same two main properties (conservation properties and entropy inequality). However, in practical applications, one often has to deal with two additional physical issues. First, a gas often does not consist of only one species, but it consists of a mixture of different species. Second, the particles can store energy not only in translational degrees of freedom but also in internal degrees of freedom such as rotations or vibrations (polyatomic molecules). Therefore, here, we will present recent BGK models for gas mixtures for mono- and polyatomic particles and the existing mathematical theory for these models.
KW - multi-fluid mixture
KW - kinetic model
KW - BGK approximation
KW - degrees of freedom in internal energy
KW - existence of solutions
KW - large-time behaviour
Y1 - 2021
UR - https://opus.bibliothek.uni-wuerzburg.de/frontdoor/index/index/docId/25016
UR - https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-250161
SN - 2311-5521
VL - 6
IS - 11
ER -