20 citations · 29 across the 7 of their papers we have counts for
8 papers
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…
A hybrid mass transport finite element method for Keller-Segel type systems
José Antonio Carrillo, Niklas Kolbe, Mária Lukácová-Medviďová
We propose a new splitting scheme for general reaction-taxis-diffusion systems in one spatial dimension capable to deal with simultaneous concentrated and diffusive regions as well…
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…
Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations
V. Bonnaillie-Noël, J. A. Carrillo, T. Goudon +1
In this paper we study the diffusion approximation of a swarming model given by a system of interacting Langevin equations with nonlinear friction. The diffusion approximation requ…
Single to Double Mill Small Noise Transition via Semi-Lagrangian Finite Volume Methods
J. A. Carrillo, A. Klar, A. Roth
We show that double mills are more stable than single mills under stochastic perturbations in swarming dynamic models with basic attraction-repulsion mechanisms. In order to analys…
Local well-posedness of the generalized Cucker-Smale model
J. A. Carrillo, Y. -P. Choi, M. Hauray
In this paper, we study the local well-posedness of two types of generalized Cucker-Smale (in short C-S) flocking models. We consider two different communication weights, singular…
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…