Jan Peszek

activity

20142024

most citedDiscrete Cucker-Smale's flocking model with a weakly singular weight

2 citations · 4 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2024

Mean-field limit of 2D stationary particle systems with signed Coulombian interactions

Jan Peszek, Rémy Rodiac

We study the mean-field limits of critical points of interaction energies with Coulombian singularity. An important feature of our setting is that we allow interaction between part…

math.AP2022★ 2 cited

Measure solutions to a kinetic Cucker-Smale model with singular and matrix-valued communication

Jan Peszek, David Poyato

We introduce a multi-dimensional variant of the kinetic Cucker-Smale model with singular and matrix-valued communication weight, which reduces to the singular kinetic Cucker-Smale…

math.DS2016

Sharp conditions to avoid collisions in singular Cucker-Smale interactions

Jose A. Carrillo, Young-Pil Choi, Piotr B. Mucha +1

We consider the Cucker-Smale flocking model with a singular communication weight $ψ (s) = s^{- α}$ with $α > 0$ . We provide a critical value of the exponent $α$ in the communication w…

math.AP2014★ 2 cited

Discrete Cucker-Smale's flocking model with a weakly singular weight

Jan Peszek

For the discrete Cucker-Smale's flocking model with a singular communication weight $ψ (s) = s^{- α}$ , with $0 < α < 1/2$ , we prove that the velocity component of certain type of weak s…