On the global classical solution to compressible Euler system with singular velocity alignment
Analysis of PDEs
2020-07-17 v1
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.
Cite
@article{arxiv.2007.08356,
title = {On the global classical solution to compressible Euler system with singular velocity alignment},
author = {Li Chen and Changhui Tan and Lining Tong},
journal= {arXiv preprint arXiv:2007.08356},
year = {2020}
}
Comments
21 pages