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Global Existence and Large Time Behaviors of Strong Solutions to the Kinetic Cucker--Smale Model Coupled with the Three Dimensional Incompressible Navier--Stokes Equations
In this paper, we study global existence and large time behaviors of strong solutions to the kinetic Cucker--Smale model coupled with the three dimensional incompressible Navier--Stokes equations in the whole space. Using the maximal regularity estimate on the Stokes equations, global-in-time strong solutions to the Cauchy problem of the coupled …