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

• Published in: Український математичний журнал
• Date: 2005
• Main Authors: Lods, B., Toscani, G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165748
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Long-Time Behavior of Nonautonomous Fokker-Planck Equations and Cooling of Granular Gases / B. Lods, Toscani G. // Український математичний журнал. — 2005. — Т. 57, № 6. — С. 778–789. — Бібліогр.: 21 назв. — англ.

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...