Global existence of strong solutions to the kinetic Cucker–Smale model coupled with the Stokes equations
Global existence of strong solutions to the kinetic Cucker–Smale model coupled with the Stokes equations
复制标题
DOI：
10.1063/5.0031258
复制
发表时间：
2019-10
影响因子：
1.3
通讯作者：
Chunyin Jin
中科院分区：
文献类型：
--
作者：
Chunyin Jin
本文研究了与Stokes方程耦合的动力学Cucker-Smale模型在全空间中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方程的时空估计，在对初值不作任何小性要求的情况下，对耦合模型的时间上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 kinetic Cucker--Smale model coupled with the Stokes equations in the whole space. By introducing a weighted Sobolev space and using space-time estimates for 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 requirements on initial data.