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Global Existence and Decay Rates of the Solutions Near Maxwellian for Non-linear Fokker-Planck Equations.
- Source :
- Journal of Statistical Physics; Oct2018, Vol. 173 Issue 1, p222-241, 20p
- Publication Year :
- 2018
-
Abstract
- In this paper, we study the global existence and decay rates of the solutions near Maxwellian for non-linear Fokker-Planck equations in the whole space. The global existence is proved by combining uniform-in-time energy estimates with local solution constructed by Picard type iteration sequence. The decay rates of the nonlinear model is obtained by using the precise spectral analysis of the linearized Fokker-Planck operator as well as the energy method. The nonlinearity in the model brings new difficulty to the energy estimates, which is resolved by additional tailored weighted-in-v energy estimates suitable for Fokker-Planck operators. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00224715
- Volume :
- 173
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Statistical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 132021514
- Full Text :
- https://doi.org/10.1007/s10955-018-2129-3