Global existence of strong solutions to the kinetic Cucker-Smale model coupled with the two dimensional incompressible Navier-Stokes equations

<p style='text-indent:20px;'>In this paper, we investigate existence of global-in-time strong solutions to the Cauchy problem kinetic Cucker–Smale model coupled with incompressible Navier–Stokes equations in two dimensional space. By introducing a weighted Sobolev space and using maximal regularity estimate on linear non-stationary Stokes equations, present complete analysis model, without any smallness assumptions initial data.</p>