caa a22 4500 467891559 CHVBK 20180406152750.0 cr unu---uuuuu 170328e20060801xx s 000 0 eng 10.1007/s10955-006-9044-8 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9044-8 Boltzmann Equations For Mixtures of Maxwell Gases: Exact Solutions and Power Like Tails [Elektronische Daten] [A. Bobylev, I. Gamba] We consider the Boltzmann equations for mixtures of Maxwell gases. It is shown that in certain limiting case the equations admit self-similar solutions that can be constructed in explicit form. More precisely, the solutions have simple explicit integral representations. The most interesting solutions have finite energy and power like tails. This shows that power like tails can appear not just for granular particles (Maxwell models are far from reality in this case), but also in the system of particles interacting in accordance with laws of classical mechanics. In addition, non-existence of positive self-similar solutions with finite moments of any order is proven for a wide class of Maxwell models. Springer Science+Business Media, Inc., 2006 Boltzmann equation gas mixture nationallicence Maxwell models exact solutions high energy tails nationallicence Bobylev A. Department of Mathematics, Karlstad University, SE-65188, Karlstad, Sweden aut Gamba I. Department of Mathematics, The University of Texas at Austin, 78712-1082, Austin, TX, U.S.A. aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/2-4(2006-08-01), 497-516 0022-4715 124:2-4<497 2006 124 10955 https://doi.org/10.1007/s10955-006-9044-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9044-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bobylev A. Department of Mathematics, Karlstad University, SE-65188, Karlstad, Sweden aut NATIONALLICENCE 700 1- Gamba I. Department of Mathematics, The University of Texas at Austin, 78712-1082, Austin, TX, U.S.A aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/2-4(2006-08-01), 497-516 0022-4715 124:2-4<497 2006 124 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer