Long-Time Behavior of Nonautonomous Fokker-Planck Equations and Cooling of Granular Gases

• Datum: 2005
• Hauptverfasser: Lods, B., Toscani, G., Лодс, Б., Тошиані, Г..
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2005
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3644
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We analyze the asymptotic behavior of linear Fokker-Planck equations with time-dependent coefficients. Relaxation towards a Maxwellian distribution with time-dependent temperature is shown under explicitly computable conditions. We apply this result to the study of Brownian motion in granular gases...