65 citations · 93 across the 13 of their papers we have counts for
15 papers
Ring states in swarmalator systems
Kevin P. O'Keeffe, Joep H. M. Evers, Theodore Kolokolnikov
Synchronization is a universal phenomenon, seen in systems as diverse as superconducting Josephson junctions and discharging pacemaker cells. Here the elements have rhythmic state…
Equilibria for an aggregation model with two species
Joep H. M. Evers, Razvan C. Fetecau, Theodore Kolokolnikov
We consider an aggregation model for two interacting species. The coupling between the species is via their velocities, that incorporate self- and cross-interactions. Our main inte…
Recent results in the systematic derivation and convergence of SPH
Iason Zisis, Joep H. M. Evers, Bas van der Linden +1
This paper presents the derivation of SPH from principles of continuum mechanics via a measure-based formu- lation. Additionally, it discusses a theoretical convergence result, the…
Small inertia regularization of an anisotropic aggregation model
Joep H. M. Evers, Razvan C. Fetecau, Weiran Sun
We consider an anisotropic first-order ODE aggregation model and its approximation by a second-order relaxation system. The relaxation model contains a small parameter $\varepsilon…
Mild solutions are weak solutions in a class of (non)linear measure-valued evolution equations on a bounded domain
Joep H. M. Evers
We study the connection between mild and weak solutions for a class of measure-valued evolution equations on the bounded domain . Mass moves, driven by a velocity field that…
Metastable states for an aggregation model with noise
Joep H. M. Evers, Theodore Kolokolnikov
We study the long-time effect of noise on pattern formation for the aggregation model. We consider aggregation kernels that generate patterns consisting of two delta-concentrations…