3 papers
math.AP2026
Topological and Purely Topological Alignment Dynamics
Trevor M. Leslie, Jan Peszek
We study the Euler Alignment system of collective behavior, equipped with `topological' interaction protocols, which were introduced to the mathematical literature by Shvydkoy and…
math.AP2024
Non-local dissipative Aw-Rascle model and its relation with Matrix-valued communication in Euler alignment
Nilasis Chaudhuri, Jan Peszek, Maja Szlenk +1
We compare the multi-dimensional generalisation of the Aw-Rascle model with the pressureless Euler-alignment system, in which the communication weight is matrix-valued. Our general…
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…