Two-species flocking particles immersed in a fluid
Two-species flocking particles immersed in a fluid
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DOI：
10.4310/cis.2013.v13.n2.a1
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发表时间：
2013-12
期刊：
影响因子：
--
通讯作者：
Young-Pil Choi;Bongsuk Kwon
中科院分区：
文献类型：
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作者：
Young-Pil Choi;Bongsuk Kwon
本文提出了一个新的粒子-流体模型，描述了两种群集粒子在不可压缩粘性流体中的运动。植绒颗粒通过拖曳力直接受到不可压缩流体的影响，并且它们也通过流体彼此耦合。另一方面，两种粒子通过粘性流体彼此耦合。对于这个模型，当初始数据足够小时，我们证明了唯一强解的全局存在性，并且我们还研究了在适当条件下解的大时间行为。
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.