In this paper, we pressent a global well-posedness of strong solutions and their emergent behaviors for the coupled kinetic-fluid system consisting of kinetic thermomechanical Cucker-Smale equation and compressible isentropic Navier-Stokes system. Particle and fluid systems are coupled via the drag force which is responsible for the asymptotic velocity alignment between kinetic equation and fluid system. For the well-posedness and velocity alignment, we employ an energy method and Lyapunov function method under suitable conditions on initial data and system parameters.
|Journal||Journal of Mathematical Fluid Mechanics|
|Publication status||Published - 2020 Mar 1|
Bibliographical noteFunding Information:
The work of Y.-P. Choi is supported by National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIP) (No. 2017R1C1B2012918 and 2017R1A4A1014735) and POSCO Science Fellowship of POSCO TJ Park Foundation. The work of S.-Y. Ha is supported by the National Research Foundation of Korea(NRF-2017R1A2B2001864). The work of J. Jung and J. Kim are supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) : NRF-2016K2A9A2A13003815.
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All Science Journal Classification (ASJC) codes
- Mathematical Physics
- Condensed Matter Physics
- Computational Mathematics
- Applied Mathematics