1 citations · 2 across the 6 of their papers we have counts for
9 papers · 1 filter
Alignment with nonlinear velocity couplings: collision-avoidance and micro-to-macro mean-field limits
Young-Pil Choi, Michał Fabisiak, Jan Peszek
We investigate the pressureless fractional Euler-alignment system with nonlinear velocity couplings, referred to as the -Euler-alignment system. This model features a nonlinear…
Inevitable monokineticity of strongly singular alignment
Michał Fabisiak, Jan Peszek
We prove that certain types of measure-valued mappings are monokinetic i.e. the distribution of velocity is concentrated in a Dirac mass. These include weak measure-valued solution…
A fuzzy -closest alignment model
Piotr B. Mucha, Jan Peszek
The paper examines the problems related to the well-posedness of the Cucker-Smale model with communication restricted to the -closest neighbors, known also as the Cucker-Dong mo…
Density-induced Consensus Protocol
Piotr Minakowski, Piotr B. Mucha, Jan Peszek
The paper introduces a model of collective behavior where agents receive information only from sufficiently dense crowds in their immediate vicinity. The system is an asymmetric, d…
Flocking with short-range interactions
Javier Morales, Jan Peszek, Eitan Tadmor
We study the large-time behavior of continuum alignment dynamics based on Cucker-Smale (CS)-type interactions which involve short-range kernels, that is, communication kernels with…
Singular Cucker-Smale Dynamics
Piotr Minakowski, Piotr B. Mucha, Jan Peszek +1
The existing state of the art for singular models of flocking is overviewed, starting from microscopic model of Cucker and Smale with singular communication weight, through its mes…