Boltzmann Model for Viscoelastic Particles: Asymptotic Behavior,Pointwise Lower Bounds and Regularity |
| |
| Authors: | R. Alonso B. Lods |
| |
| Affiliation: | 1. Departamento de Matemática, PUC-Rio, Rua Marquês de S?o Vicente 225, Rio de Janeiro, CEP 22451-900, Brazil
2. Department of Economics and Statistics, Università degli Studi di Torino and Collegio Carlo Alberto, Corso Unione Sovietica, 218/bis, 10134, Turin, Italy
|
| |
| Abstract: | We investigate the long-time behavior of a system of viscoelastic particles modeled with the homogeneous Boltzmann equation. We prove the existence of a universal Maxwellian intermediate asymptotic state with explicit rate of convergence towards it. Exponential lower pointwise bounds and propagation of regularity are also studied. These results can be seen as a generalization of several classical results holding for the pseudo-Maxwellian and constant normal restitution models. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
