浸没在液体中的两种群集粒子

Young-Pil Choi, Bongsuk Kwon
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引用次数: 5

摘要

我们提出了一个新的粒子-流体模型,描述了两种簇状粒子浸入不可压缩粘性流体中的运动。聚簇颗粒通过阻力直接受到不可压缩流体的影响,并通过流体相互耦合。另一方面,两种粒子通过粘性流体相互耦合。对于该模型,在初始数据足够小时,我们证明了一个唯一强解的全局存在性,并在适当条件下研究了解的大时间行为。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Two-species flocking particles immersed in a fluid
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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