Numerical study of Bose-Einstein condensation in the Kaniadakis-Quarati model for bosons

JA Carrillo, K Hopf, MT Wolfram - arXiv preprint arXiv:1902.06266, 2019 - arxiv.org
Kaniadakis and Quarati (1994) proposed a Fokker--Planck equation with quadratic drift as a
PDE model for the dynamics of bosons in the spatially homogeneous setting. It is an open …

Singularities in -supercritical Fokker–Planck equations: A qualitative analysis

K Hopf - Annales de l'Institut Henri Poincaré C, 2023 - ems.press
A class of nonlinear Fokker–Planck equations with superlinear drift is investigated in the L1-
supercritical regime, which exhibits a finite critical mass. The equations have a formal …