In this paper, the asymptotic behavior of the solutions for compressible Euler system with a non-local interaction term is studied. Using velocity damping to restrain the singularity caused by the anisotropic interaction between individuals, the exponential decay estimate of the solutions is obtained.

中文翻译：

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具有非局部速度对准的可压缩欧拉系统的衰减估计

本文研究了具有非局部相互作用项的可压缩欧拉系统解的渐近行为。利用速度阻尼来抑制由个体之间的各向异性相互作用引起的奇异性，可以得到解的指数衰减估计。