On the global classical solution to compressible Euler system with singular velocity alignment

Li Chen; Changhui Tan; Lining Tong

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arXiv · 2007.08356

On the global classical solution to compressible Euler system with singular velocity alignment

Li Chen·Changhui Tan·Lining Tong

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Abstract

We consider a compressible Euler system with singular velocity alignment, known as the Euler-alignment system, describing the flocking behaviors of large animal groups. We establish a local well-posedness theory for the system, as well as a global well-posedness theory for small initial data. We also show the asymptotic flocking behavior, where solutions converge to a constant steady state exponentially in time.

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Li Chen, Changhui Tan, Lining Tong. 2020-07-16. On the global classical solution to compressible Euler system with singular velocity alignment. https://arxiv.org/abs/2007.08356

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