Diffusion and kinetic transport with very weak confinement

Emeric Bouin (1) , Jean Dolbeault (1) , Christian Schmeiser (2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 Fakultät für Mathematik [Wien]

This paper is devoted to Fokker-Planck and linear kinetic equations with very weak confinement corresponding to a potential with an at most logarithmic growth and no integrable stationary state. Our goal is to understand how to measure the decay rates when the diffusion wins over the confinement although the potential diverges at infinity.

Domaines: Equations aux dérivées partielles [math.AP]

Emeric Bouin, Jean Dolbeault, Christian Schmeiser. Diffusion and kinetic transport with very weak confinement. Kinetic and Related Models , 2020, 13 (2), pp.345-371. ⟨10.3934/krm.2020012⟩. ⟨hal-01991665⟩