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Kwon, Bongsuk
Partial Differential Equations and their applications
Research Interests
  • Partial differential equations, hyperbolic conservation laws, stability of nonlinear waves

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Two-species flocking particles immersed in a fluid

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Title
Two-species flocking particles immersed in a fluid
Author
Choi, Young-PilKwon, Bongsuk
Issue Date
2013-12
Publisher
International Press of Boston
Citation
Communications in Information and Systems, v.13, no.2, pp.123 - 149
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.
URI
https://scholarworks.unist.ac.kr/handle/201301/9891
URL
https://www.intlpress.com/site/pub/pages/journals/items/cis/content/vols/0013/0002/a001/
DOI
10.4310/CIS.2013.v13.n2.a1
ISSN
1526-7555
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