Boltzmann Equations For Mixtures of Maxwell Gases: Exact Solutions and Power Like Tails |
| |
Authors: | A V Bobylev I M Gamba |
| |
Institution: | (1) Department of Mathematics, Karlstad University, Karlstad, SE-65188, Sweden;(2) Department of Mathematics, The University of Texas at Austin, Austin, TX, 78712-1082, U.S.A. |
| |
Abstract: | 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. |
| |
Keywords: | Boltzmann equation gas mixture Maxwell models exact solutions high energy tails |
本文献已被 SpringerLink 等数据库收录! |
|