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Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment.
- Source :
-
Journal of Differential Equations . Jan2024, Vol. 380, p198-227. 30p. - Publication Year :
- 2024
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONLINEAR systems
*VELOCITY
*SYSTEM dynamics
*EULER-Lagrange equations
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 380
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 173888090
- Full Text :
- https://doi.org/10.1016/j.jde.2023.10.044