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arXiv · 2204.01463

Global weak solutions to the compressible Cucker-Smale-Navier-Stokes system in a bounded domain

Li Chen·Yue Li·Nicola Zamponi
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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 $\gamma> {3}/{2}$ is established.

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Li Chen, Yue Li, Nicola Zamponi. 2022-04-04. Global weak solutions to the compressible Cucker-Smale-Navier-Stokes system in a bounded domain. https://arxiv.org/abs/2204.01463

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