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Pré-Publication, Document De Travail Année : 2024

Quantitative relaxation towards equilibrium for solutions to the Boltzmann-Fermi-Dirac equation with cutoff hard potentials

Résumé

We provide the first quantitative result of convergence to equilibrium in the context of the spatially homogeneous Boltzmann-Fermi-Dirac equation associated to hard potentials interactions under angular cutoff assumption, providing an explicit-algebraic-rate of convergence to Fermi-Dirac steady solutions. This result complements the quantitative convergence result of [15] and is based upon new uniform-in-time-and-ε L ∞ bound on the solutions.
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hal-04433119 , version 1 (01-02-2024)

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  • HAL Id : hal-04433119 , version 1

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Thomas Borsoni, Bertrand Lods. Quantitative relaxation towards equilibrium for solutions to the Boltzmann-Fermi-Dirac equation with cutoff hard potentials. 2024. ⟨hal-04433119⟩
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