Communications in Mathematical Sciences
Volume 18 (2020)
Decay estimate to a compressible Euler system with non-local velocity alignment
Pages: 1469 – 1475
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.
compressible Euler system, exponential decay, velocity alignment
2010 Mathematics Subject Classification
L. Tong was supported by the National Natural Science Foundation of China (grant nos. 11901379 and 11771274).
Received 22 May 2019
Accepted 14 March 2020
Published 23 September 2020