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Liapunov functionals and large-time-asymptotics of mean-eld nonlinear Fokker-Planck equations.
 

Summary: Liapunov functionals and large-time-asymptotics of mean- eld
nonlinear Fokker-Planck equations.
Anton Arnold1
Fachbereich Mathematik, Technische Universitat Berlin
Stra e des 17. Juni 136, D-10623 Berlin, Germany
current address: Department of Mathematics, Purdue University
West Lafayette, IN 47907, USA
e-mail address: arnold@math.tu-berlin.de
Luis L. Bonilla
Escuela Politecnica Superior, Universidad Carlos III de Madrid
Butarque 15 28911 Leganes, Spain
e-mail address: bonilla@ing.uc3m.es
Peter A. Markowich1
Fachbereich Mathematik, Technische Universitat Berlin
Stra e des 17. Juni 136, D-10623 Berlin, Germany
e-mail address: markowic@math.tu-berlin.de
ABSTRACT
Large-time asymptotics of the solutions of time-dependent mean- eld nonlinear Fokker-
Planck systems are analyzed by exploiting the properties of Liapunov functionals (relative
entropies). We rst discuss the scalar Desai-Zwanzig model and then generalize the techni-

  

Source: Arnold, Anton - Institut für Analysis und Scientific Computing, Technische Universität Wien

 

Collections: Mathematics