Global weak solutions to the compressible Cucker-Smale-Navier-Stokes system in a bounded domain
Analysis of PDEs
2022-12-06 v2
Abstract
A coupled kinetic-fluid model is investigated, which describes the dynamic behavior of an ensemble of Cucker-Smale flocking particles interacting with a viscous fluid in a three-dimensional bounded domain. This system consists of a kinetic Cucker-Smale equation and a compressible Navier-Stokes system with nonhomogeneous boundary conditions. The global existence of weak solutions to this system with adiabatic coefficient is established.
Keywords
Cite
@article{arxiv.2204.01463,
title = {Global weak solutions to the compressible Cucker-Smale-Navier-Stokes system in a bounded domain},
author = {Li Chen and Yue Li and Nicola Zamponi},
journal= {arXiv preprint arXiv:2204.01463},
year = {2022}
}