Two-species flocking particles immersed in a fluid

Abstract

We present a new particle-fluid model describing the motion of two-species flocking particles immersed in an incompressible viscous fluid. The flocking particles are directly affected by the incompressible fluid through a drag force, and they are also coupled with each other via the fluid. On the other hand, the two-species particles are coupled with each other via the viscous fluid. For this proposed model, we show the global existence of a unique strong solution when the initial data is sufficiently small, and we also investigate the large-time behavior of the solutions under suitable conditions.