研究
星期二, 07 4月 2020 15:21

Global regularity for a 1D Euler-alignment system with misalignment

 

Qianyun Miao, Changhui Tan, and Liutang Xue

Mathematical Models and Methods in Applied Sciences, Volume 31, No 3, pp. 473-524 (2021).


Abstract

We study one-dimensional Eulerian dynamics with nonlocal alignment interactions, fea- turing strong short-range alignment, and long-range misalignment. Compared with the well-studied Euler-alignment system, the presence of the misalignment brings different behaviors of the solutions, including the possible creation of vacuum at infinite time, which destabilizes the solutions. We show that with a strongly singular short-range alignment interaction, the solution is globally regular, despite the effect of misalignment.


   doi:10.1142/S021820252150010X
 Download the Published Version
 This work is supported by NSF grant DMS #1853001
Read 3750 times Last modified on 星期一, 19 7月 2021 01:27