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

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

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8 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 languageEnglish
Pages (from-to)381-396
Number of pages16
JournalJournal of Mathematical Fluid Mechanics
Volume18
Issue number2
DOIs
Publication statusPublished - 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.

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics

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