Long time dynamics for the Landau-Fermi-Dirac equation with hard potentials
نویسندگان
چکیده
In this document we discuss the long time behaviour for homogeneous Landau-Fermi-Dirac equation in hard potential case. Uniform estimates statistical moments and Sobolev regularity are presented used to prove exponential relaxation of non degenerate distributions Fermi-Dirac statistics. All these results valid rather general initial datum. An important feature is independence with respect quantum parameter. Consequently, classical limit same recovered Landau equation.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2021
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2020.08.010