316 citations · 334 across the 3 of their papers we have counts for
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The Fokker-Planck equation for bosons in 2D: well-possedness and asymptotic analysis
José A. Cañizo, José A. Carrillo, Philippe Laurençot +1
We show that solutions of the 2D Fokker-Planck equation for bosons are defined globally in time and converge to equilibrium, and this convergence is shown to be exponential for rad…
A well-posedness theory in measures for some kinetic models of collective motion
José A. Cañizo, José A. Carrillo, Jesús Rosado
We present existence, uniqueness and continuous dependence results for some kinetic equations motivated by models for the collective behavior of large groups of individuals. Models…
Fermi-Dirac-Fokker-Planck equation: well-posedness and long-time asymptotics
José A. Carrillo, Philippe Laurençot, Jesús Rosado
A Fokker-Planck type equation for interacting particles with exclusion principle is analysed. The nonlinear drift gives rise to mathematical difficulties in controlling moments of…