Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment
Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment
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DOI：
10.1088/1361-6544/ad140b
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发表时间：
2022-07
期刊：
影响因子：
1.7
通讯作者：
Xiang Bai;Qianyun Miao;Changhui Tan;Liutang Xue
中科院分区：
文献类型：
--
作者：
Xiang Bai;Qianyun Miao;Changhui Tan;Liutang Xue
本文研究了具有强奇异速度排列的可压缩欧拉系统的柯西问题。对于具有小初始数据的系统，我们证明了其在临界Besov空间中整体解的存在唯一性。文中还讨论了局部时间可解性。此外，我们还证明了解的大时间渐近性和最优衰减估计为t→∞。
In this paper, we study the Cauchy problem of the compressible Euler system with strongly singular velocity alignment. We prove the existence and uniqueness of global solutions in critical Besov spaces to the considered system with small initial data. The local-in-time solvability is also addressed. Moreover, we show the large-time asymptotic behaviour and optimal decay estimates of the solutions as t→∞ .