Thursday, 16 July 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.
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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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