研究
星期四, 16 7月 2020 10:41

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

 

Li Chen, Changhui Tan, and Lining Tong

Methods and Applications of Analysis, Volume 28, No.2, pp. 155-174 (2021).

Dedicated to Professor Ling Hsiao's 80th birthday.


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.


   doi:10.4310/MAA.2021.v28.n2.a3
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 This work is supported by NSF grant DMS #1853001

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