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

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

2007-07-31

arxiv.org/abs/0707.4594v1

Mathematics

Analysis of PDEs

13 pages. to appear in Comm. Math. Sci

Scientific paper

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.

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