期刊
JOURNAL OF DIFFERENTIAL EQUATIONS
卷 380, 期 -, 页码 198-227出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2023.10.044
关键词
Euler-alignment system; Nonlinear velocity alignment; Flocking; Asymptotic behavior; Invariant region
类别
This article investigates a family of nonlinear velocity alignments in the compressible Euler system and shows the asymptotic emergent phenomena of alignment and flocking. Different types of nonlinearity and nonlocal communication protocols are studied, resulting in a variety of different asymptotic behaviors.
We consider the compressible Euler system with a family of nonlinear velocity alignments. The system is a nonlinear extension of the Euler-alignment system in collective dynamics. We show the asymptotic emergent phenomena of the system: alignment and flocking. Different types of nonlinearity and nonlocal communication protocols are investigated, resulting in a variety of different asymptotic behaviors.(c) 2023 Elsevier Inc. All rights reserved.
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