3 papers
math.AP2023
Asymptotic behavior of the two-dimensional Vlasov-Poisson-Fokker-Planck equation with a strong external magnetic field
Mihaï Bostan, Anh-Tuan Vu
The subject matter of the paper concerns the Vlasov-Poisson-Fokker-Planck (VPFP) equations in the context of magnetic confinement. We study the long-time behavior of the VPFP syste…
math.AP2019
Fluid models with phase transition for kinetic equations in swarming
Mihaï Bostan, José Antonio Carrillo
We concentrate on kinetic models for swarming with individuals interacting through self-propelling and friction forces, alignment and noise. We assume that the velocity of each ind…
math.AP2017
Reduced fluid models for self-propelled particles interacting through alignment
M. Bostan, J. A. Carrillo
The asymptotic analysis of kinetic models describing the behavior of particles interacting through alignment is performed. We will analyze the asymptotic regime corresponding to la…