Entropy and Optimal transport methods in Fokker-Planck equations for fermionic and bosonic particles

Jose Carrillo
Autonomous University of Barcelona
ICREA

We will discuss asysmptotic properties of Fokker-Planck equations having Fermi-Dirac and Bose-Einstein distribution functions as stationary solutions. Fermi-Dirac case will be treated by entropy methods in any dimensions. Open problems for the Bose-Einstein case will be discussed.
Optimal transport problems related to this question will be addressed too.

Audio (MP3 File, Podcast Ready)

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