@phdthesis{Pirner2018,
  author    = {Pirner, Marlies},
  title     = {Kinetic modelling of gas mixtures},
  edition   = {1. Auflage},
  publisher = {W{\"u}rzburg University Press},
  address   = {W{\"u}rzburg},
  isbn      = {978-3-95826-080-1 (Print)},
  doi       = {10.25972/WUP-978-3-95826-081-8},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-161077},
  school      = {W{\"u}rzburg University Press},
  pages     = {xi, 222},
  year      = {2018},
  abstract  = {This book deals with the kinetic modelling of gas mixtures. It extends the existing literature in mathematics for one species of gas to the case of gasmixtures. This is more realistic in applications. Thepresentedmodel for gas mixtures is proven to be consistentmeaning it satisfies theconservation laws, it admitsanentropy and an equilibriumstate. Furthermore, we can guarantee the existence, uniqueness and positivity of solutions. Moreover, the model is used for different applications, for example inplasma physics, for fluids with a small deviation from equilibrium and in the case of polyatomic gases.},
  subject      = {Polyatomare Verbindungen},
  language  = {en}
}
@article{Pirner2021,
  author    = {Pirner, Marlies},
  title     = {A review on BGK models for gas mixtures of mono and polyatomic molecules},
  series = {Fluids},
  volume    = {6},
  journal   = {Fluids},
  number    = {11},
  issn      = {2311-5521},
  doi       = {10.3390/fluids6110393},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-250161},
  year      = {2021},
  abstract  = {We consider the Bathnagar-Gross-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.},
  language  = {en}
}