Global existence of strong solutions to the kinetic Cucker-Smale model coupled with the two dimensional incompressible Navier-Stokes equations
Global existence of strong solutions to the kinetic Cucker-Smale model coupled with the two dimensional incompressible Navier-Stokes equations
复制标题
与二维不可压缩纳维-斯托克斯方程相结合的动力学 Cucker-Smale 模型强解的全局存在性
DOI：
10.3934/krm.2022023
复制
发表时间：
2022
影响因子：
1
通讯作者：
Chunyin Jin
中科院分区：
文献类型：
--
作者：
Chunyin Jin
本文研究二维空间中与不可压Navier-Stokes方程耦合的动力学Cucker-Smale模型的Cauchy问题的整体时间强解的存在性.通过引入加权Sobolev空间，利用线性非定常Stokes方程的极大正则性估计，在不对初值作任何小性假设的情况下，对耦合模型的时间全局强解的存在性进行了完整的分析.
In this paper, we investigate existence of global-in-time strong solutions to the Cauchy problem of the kinetic Cucker–Smale model coupled with the incompressible Navier–Stokes equations in the two dimensional space. By introducing a weighted Sobolev space and using the maximal regularity estimate on the linear non-stationary Stokes equations, we present a complete analysis on existence of global-in-time strong solutions to the coupled model, without any smallness assumptions on initial data.
关于斯托克斯漂移
DOI：
--
发表时间：
2010
期刊：
影响因子：
--
作者：
Kanbayashi;Hiroshi;Hirohisa Takenoshita;H.Okamoto
通讯作者：
H.Okamoto