McKenzie Black and Changhui Tan
Journal of Differential Equations, Volume 380, pp. 198-227 (2024)
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.
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doi:10.1016/j.jde.2023.10.044 |
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This work is supported by NSF grants DMS #2108264 and DMS 2238219 |
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This work is supported by a UofSC VPR SPARC grant. |