论文标题
具有非线性速度比对的可压缩欧拉系统的渐近行为
Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment
论文作者
论文摘要
我们考虑具有非线性速度比对家族的可压缩欧拉系统。该系统是集体动力学中Euler-Alignment系统的非线性扩展。我们显示了系统的渐近新兴现象:对齐和羊群。研究了不同类型的非内在性和非局部交流方案,导致各种不同的渐近行为。
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.