GLOBAL EXISTENCE OF STRONG SOLUTIONS TO THE KINETIC CUCKER-SMALE MODEL COUPLED WITH THE TWO DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

被引：0
作者：
Jin, C. H. U. N. Y. I. N. [1 ]
机构：
[1] China Agr Univ, Coll Sci, Beijing 100083, Peoples R China
来源：
KINETIC AND RELATED MODELS | 2022年
关键词：
  Global existence; strong solutions; kinetic Cucker-Smale model; the two dimensional incompressible Navier-Stokes equations; weighted energy estimate; ASYMPTOTIC FLOCKING DYNAMICS; PRESSURELESS EULER SYSTEM; WELL-POSEDNESS; WEAK SOLUTIONS; REGULARITY; PARTICLES;
D O I：
10.3934/krm.2022023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：69 / 96
页数：28
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