Stability of steady states in kinetic Fokker-Planck equations for Bosons and Fermions

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dc.creatorNeumann, Lukas
dc.creatorSparber, Christof
dc.date2007-07-31
dc.date.accessioned2026-07-07T08:21:20Z
dc.date.available2026-07-07T08:21:20Z
dc.descriptionWe 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.
dc.description13 pages. to appear in Comm. Math. Sci
dc.identifierhttps://arxiv.org/abs/0707.4594
dc.identifierhttp://arxiv.org/abs/0707.4594
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135327
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject82C40, 82C10, 76R50, 82D37
dc.titleStability of steady states in kinetic Fokker-Planck equations for Bosons and Fermions
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