Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment

McKenzie Black; Changhui Tan

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arXiv · 2210.11438

Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment

McKenzie Black·Changhui Tan

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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.

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McKenzie Black, Changhui Tan. 2022-10-20. Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment. https://arxiv.org/abs/2210.11438

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