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Smooth solutions to the Landau-Fermi-Dirac equation

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If you have a question about this talk, please contact Daniel Boutros.

I will discuss some recent work on a quantum analogue of the kinetic Landau equation, called the Landau-Fermi-Dirac (LFD) equation. The LFD equation models the behavior of a Fermionic gas with Coulomb potential interactions and is substantially better behaved than the classical Landau equation. In particular, LFD admits the existence of global-in-time smooth solutions. In addition, all solutions relax towards equilibrium. For solutions near equilibrium, the relaxation occurs at an explicit algebraic rate.

This talk is part of the Junior Analysis and PDE seminar series.

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