论文标题
全球弱解决方案，用于有限域中可压缩的cucker-smale-navier-stokes系统
Global weak solutions to the compressible Cucker-Smale-Navier-Stokes system in a bounded domain
论文作者
论文摘要
研究了一个耦合的动力流体模型，该模型描述了与三维有限域中与粘性流体相互作用的cucker-smale羊群集合的动态行为。该系统由动力学的cucker-smale方程和具有非均匀边界条件的可压缩Navier-Stokes系统组成。建立了使用绝热系数$γ> {3}/{2} $的全球解决方案的全球存在。
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 $γ> {3}/{2}$ is established.
