Global Existence of Strong Solutions to the Cucker–Smale–Stokes System

Hyeong Ohk Bae; Young Pil Choi; Seung Yeal Ha; Moon Jin Kang

doi:10.1007/s00021-015-0237-2

Global Existence of Strong Solutions to the Cucker–Smale–Stokes System

Hyeong Ohk Bae, Young Pil Choi, Seung Yeal Ha, Moon Jin Kang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

A coupled kinetic–fluid model describing the interactions between Cucker–Smale flocking particles and a Stokes fluid is presented. We demonstrate the global existence and uniqueness of strong solutions to this coupled system in a three-dimensional spatially periodic domain for initial data that are sufficiently regular, but not necessarily small.

Original language	English
Pages (from-to)	381-396
Number of pages	16
Journal	Journal of Mathematical Fluid Mechanics
Volume	18
Issue number	2
DOIs	https://doi.org/10.1007/s00021-015-0237-2
Publication status	Published - 2016 Jun 1

Bibliographical note

Funding Information:
The authors would like to express their thanks to the anonymous referees for valuable comments. Bae (2015R1D1A1A01057976), Choi (2012R1A6A3A03039496) are supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology, and Choi is also partially supported by EPSRC grant with reference EP/K008404/1. Ha is partially supported by NRF-2009-0083521 (SRC), Kang is supported by the Basic Science Research Program through NRF-2013R1A6A3A03020506.

Publisher Copyright:
© 2015, Springer International Publishing.

All Science Journal Classification (ASJC) codes

Mathematical Physics
Condensed Matter Physics
Computational Mathematics
Applied Mathematics

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10.1007/s00021-015-0237-2

Cite this

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abstract = "A coupled kinetic–fluid model describing the interactions between Cucker–Smale flocking particles and a Stokes fluid is presented. We demonstrate the global existence and uniqueness of strong solutions to this coupled system in a three-dimensional spatially periodic domain for initial data that are sufficiently regular, but not necessarily small.",

author = "Bae, {Hyeong Ohk} and Choi, {Young Pil} and Ha, {Seung Yeal} and Kang, {Moon Jin}",

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doi = "10.1007/s00021-015-0237-2",

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AU - Bae, Hyeong Ohk

AU - Choi, Young Pil

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AU - Kang, Moon Jin

N1 - Funding Information: The authors would like to express their thanks to the anonymous referees for valuable comments. Bae (2015R1D1A1A01057976), Choi (2012R1A6A3A03039496) are supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology, and Choi is also partially supported by EPSRC grant with reference EP/K008404/1. Ha is partially supported by NRF-2009-0083521 (SRC), Kang is supported by the Basic Science Research Program through NRF-2013R1A6A3A03020506. Publisher Copyright: © 2015, Springer International Publishing.

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N2 - A coupled kinetic–fluid model describing the interactions between Cucker–Smale flocking particles and a Stokes fluid is presented. We demonstrate the global existence and uniqueness of strong solutions to this coupled system in a three-dimensional spatially periodic domain for initial data that are sufficiently regular, but not necessarily small.

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Global Existence of Strong Solutions to the Cucker–Smale–Stokes System

Abstract

Bibliographical note

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