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Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment (2210.11438v2)
Published 20 Oct 2022 in math.AP
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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