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arXiv · 1904.02394

Long time dynamics for the Landau-Fermi-Dirac equation with hard potentials

Ricardo Alonso·Véronique Bagland·Bertrand Lods
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Abstract

In this document we discuss the long time behaviour for the homogeneous Landau-Fermi-Dirac equation in the hard potential case. Uniform in time estimates for statistical moments and Sobolev regularity are presented and used to prove exponential relaxation of non degenerate distributions to the Fermi-Dirac statistics. All these results are valid for rather general initial datum. An important feature of the estimates is the independence with respect to the quantum parameter. Consequently, in the classical limit the same estimates are recovered for the Landau equation.

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Ricardo Alonso, Véronique Bagland, Bertrand Lods. 2019-04-04. Long time dynamics for the Landau-Fermi-Dirac equation with hard potentials. https://arxiv.org/abs/1904.02394

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