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Some new results on the Landau Fermi Dirac equation

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FKTW02 - Frontiers in analysis of kinetic equations

The Landau-Fermi-Dirac equation is a model of kinetic theory which describes the evolution of particles undergoing grazing collisions and subjected to Pauli’s exclusion principle. In a work in common with Ricardo Alonso, Véronique Bagland and Bertrand Lods, we study some properties of the spatially homogeneous solutions to this equation, for a large variety of cross sections including hard potentials and moderately soft potentials. All the estimates that we provide are uniform with respect to the parameter measuring the quantum effects (adimensionalized Schrödinger’s constant) when it is bounded above, so that they also hold for the usual Landau equation (without quantum effects).

This talk is part of the Isaac Newton Institute Seminar Series series.

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