Ukrainian Mathematical Journal

, Volume 57, Issue 6, pp 923–935 | Cite as

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

  • B. Lods
  • G. Toscani


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 by showing that the Homogenous Cooling State attracts any solution at an algebraic rate.


Brownian Motion Asymptotic Behavior Computable Condition Maxwellian Distribution Algebraic Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • B. Lods
    • 1
  • G. Toscani
    • 2
  1. 1.Politecnico TorinoTurinItaly
  2. 2.University of PaviaPaviaItaly

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