Generic alignment conjecture for systems of Cucker–Smale type

The generic alignment conjecture states that for almost every initial data on the torus solutions to the Cucker–Smale system with a strictly local communication align to the common mean velocity. In this note, we present a partial resolution of this conjecture using a statistical mechanics approach....

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Veröffentlicht in:	Journal of evolution equations 2024-06, Vol.24 (2), Article 19
1. Verfasser:	Shvydkoy, Roman
Format:	Artikel
Sprache:	eng
Schlagworte:	Alignment Analysis Mathematics Mathematics and Statistics Statistical mechanics Toruses
Online-Zugang:	Volltext
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