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

• DOI: 10.4310/maa.2021.v28.n2.a3
• Publication Date: 2022-06-10T20:57:05Z
• Authors: Li Chen; Changhui Tan; Lining Tong
• Keywords: Euler system; Singular solution

We consider a compressible Euler system with singular velocity alignment, known as the Euler-alignment system, describing flocking behaviors of large animal groups. establish local well-posedness theory for well global small initial data. also show asymptotic behavior, where solutions converge to constant steady state exponentially in time.