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.
Bibliographical noteFunding 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.
© 2015, Springer International Publishing.
All Science Journal Classification (ASJC) codes
- Mathematical Physics
- Condensed Matter Physics
- Computational Mathematics
- Applied Mathematics