Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment
Analysis of PDEs
2022-11-02 v2
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.
Keywords
Cite
@article{arxiv.2210.11438,
title = {Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment},
author = {McKenzie Black and Changhui Tan},
journal= {arXiv preprint arXiv:2210.11438},
year = {2022}
}
Comments
27 pages, 4 figures