Stability of steady states in kinetic Fokker-Planck equations for Bosons and Fermions
Neumann, Lukas ; Sparber, Christof
Commun. Math. Sci., Tome 5 (2007) no. 1, p. 765-777 / Harvested from Project Euclid
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We study a class of nonlinear kinetic Fokker-Planck type equations modeling quantum particles which obey the Bose-Einstein and Fermi-Dirac statistics, respectively. We establish the existence of classical solutions in the perturbative regime and prove exponential convergence towards the equilibrium.
Publié le : 2007-12-15
Classification:  Fokker-Planck operator,  Bose-Einstein statistics,  Fermi-Dirac statistics,  long time behavior,  82C40,  82C10,  76R50,  82D37 
@article{1199377549,
     author = {Neumann, Lukas and Sparber, Christof},
     title = {Stability of steady states in kinetic Fokker-Planck equations for Bosons and
					Fermions},
     journal = {Commun. Math. Sci.},
     volume = {5},
     number = {1},
     year = {2007},
     pages = { 765-777},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1199377549}
}

Neumann, Lukas; Sparber, Christof. Stability of steady states in kinetic Fokker-Planck equations for Bosons and
					Fermions. Commun. Math. Sci., Tome 5 (2007) no. 1, pp.  765-777. http://gdmltest.u-ga.fr/item/1199377549/