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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

arXiv Preprint 2210.11438.

Read 144 times Last modified on Thursday, 20 October 2022 21:10