20 citations · 29 across the 7 of their papers we have counts for
4 papers · 1 filter
Existence of ground states for aggregation-diffusion equations
J. A. Carrillo, M. G. Delgadino, F. S. Patacchini
We analyze free energy functionals for macroscopic models of multi-agent systems interacting via pairwise attractive forces and localized repulsion. The repulsion at the level of t…
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…
Splitting-Particle Methods for Structured Population Models: Convergence and Applications
J. A. Carrillo, P. Gwiazda, A. Ulikowska
We propose a new numerical scheme designed for a wide class of structured population models based on the idea of operator splitting and particle approximations. This scheme is rela…
Asymptotic Fixed-Speed Reduced Dynamics for Kinetic Equations in Swarming
Mihai Bostan, J. A. Carrillo
We perform an asymptotic analysis of general particle systems arising in collective behavior in the limit of large self-propulsion and friction forces. These asymptotics impose a f…