caa a22 4500 467893047 CHVBK 20180406152754.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s10955-006-9173-0 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9173-0 Moment Systems Derived from Relativistic Kinetic Equations [Elektronische Daten] [Véronique Bagland, Pierre Degond, Mohammed Lemou] In this paper, we are interested in the derivation of macroscopic equations from kinetic ones using a moment method in a relativistic framework. More precisely, we establish the general form of moments that are compatible with the Lorentz invariance and derive a hierarchy of relativistic moment systems from a Boltzmann kinetic equation. The proof is based on the representation theory of Lie algebras. We then extend this derivation to the classical case and general families of moments that obey the Galilean invariance are also constructed. It is remarkable that the set of formal classical limits of the so-obtained relativistic moment systems is not identical to the set of classical moments quoted in Ref. 21 and one could use a new physically relevant criterion to derive suitable moment systems in the classical case. Finally, the ultra-relativistic limit is considered. Springer Science + Business Media, Inc., 2006 moment system nationallicence relativistic kinetic theory nationallicence entropy minimisation problem nationallicence Bagland Véronique Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier-Toulouse 3, 118 route de Narbonne, F-31062, Toulouse cedex 9, France aut Degond Pierre Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier-Toulouse 3, 118 route de Narbonne, F-31062, Toulouse cedex 9, France aut Lemou Mohammed Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier-Toulouse 3, 118 route de Narbonne, F-31062, Toulouse cedex 9, France aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/3(2006-11-01), 621-659 0022-4715 125:3<621 2006 125 10955 https://doi.org/10.1007/s10955-006-9173-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9173-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bagland Véronique Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier-Toulouse 3, 118 route de Narbonne, F-31062, Toulouse cedex 9, France aut NATIONALLICENCE 700 1- Degond Pierre Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier-Toulouse 3, 118 route de Narbonne, F-31062, Toulouse cedex 9, France aut NATIONALLICENCE 700 1- Lemou Mohammed Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier-Toulouse 3, 118 route de Narbonne, F-31062, Toulouse cedex 9, France aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/3(2006-11-01), 621-659 0022-4715 125:3<621 2006 125 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer