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Unidirectional flocks in hydrodynamic Euler alignment system II: singular models

Abstract: In this note we continue our study of unidirectional solutions to hydrodynamic Euler alignment systems with strongly singular communication kernels ?(x): = |x|-(n+?) for ? ? (0,2). The solutions describe unidirectional parallel motion of agents governing multi-dimensional collective behavior of flocks. Here, we consider the range 1

 Fuente: Communications in Mathematical Sciences, 2021, 19(3), 807-828

 Publisher: International Press

 Year of publication: 2021

 No. of pages: 20

 Publication type: Article

 DOI: 10.4310/CMS.2021.v19.n3.a11

 ISSN: 1539-6746,1945-0796

Authorship

SHVYDKOY, ROMAN