On Asymptotic Stability and Sweeping of Collisionless Kinetic Equations
| Affiliation auteurs | Affiliation ok |
| Titre | On Asymptotic Stability and Sweeping of Collisionless Kinetic Equations |
| Type de publication | Journal Article |
| Year of Publication | 2017 |
| Auteurs | Mokhtar-Kharroubi M, Rudnicki R |
| Journal | ACTA APPLICANDAE MATHEMATICAE |
| Volume | 147 |
| Pagination | 19-38 |
| Date Published | FEB |
| Type of Article | Article |
| ISSN | 0167-8019 |
| Mots-clés | Billiards, Convergence to equilibrium, Kinetic equation, Stochastic semigroup |
| Résumé | We study a collisionless kinetic equation describing density distribution function of the position and velocity of particles moving in a slab with finite thickness and with a partly diffusive boundary reflection. In particular, we deal with existence of an invariant density and with the convergence to the equilibrium. We also study the long time behavior of densities when the equilibrium does not exists. |
| DOI | 10.1007/s10440-016-0066-1 |