2 papers
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…