Communications in Information and Systems

Volume 13 (2013)

Number 2

Special Issue in Honor of Marshall Slemrod: Part 2 of 4

Two-species flocking particles immersed in a fluid

Pages: 123 – 149

DOI: http://dx.doi.org/10.4310/CIS.2013.v13.n2.a1

Authors

Young-Pil Choi (Department of Mathematics, Imperial College London, United Kingdom)

Bongsuk Kwon (Department of Mathematical Sciences, Ulsan National Institute of Science and Technology, Ulsan, Korea)

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.

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