arXiv Preprint 2210.11438.
Thursday, 20 October 2022 20:58
Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment
McKenzie Black and Changhui Tan
Abstract
We consider the pressureless compressible Euler system with a family of nonlinear velocity alignment. 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.
 |
This work is supported by NSF grant DMS #2108264 |
Published in
Research