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math.AP2022★ 3 cited
Schrödinger-Lohe type models of quantum synchronization with nonidentical oscillators
Paolo Antonelli, David N. Reynolds
We study the asymptotic emergent dynamics of two models that can be thought of as extensions of the well known Schrödinger-Lohe model for quantum synchronization. More precisely, t…
math.AP2021
Global solutions to multi-dimensional topological Euler alignment systems
Daniel Lear, David N. Reynolds, Roman Shvydkoy
We present a systematic approach to regularity theory of the multi-dimensional Euler alignment systems with topological diffusion introduced in \cite{STtopo}. While these systems e…
math.AP2019
Local well-posedness of the topological Euler alignment models of collective behavior
David N. Reynolds, Roman Shvydkoy
In this paper we address the problem of well-posedness of multi-dimensional topological Euler-alignment models introduced in \cite{ST-topo}. The main result demonstrates local exis…