论文标题
3D外部域中具有滑动边界条件的粘性两相流量模型的全球经典解决方案
Global Classical Solutions to the viscous two-phase flow model with slip Boundary Conditions in 3D Exterior Domains
论文作者
论文摘要
我们考虑在边界平滑的3D外部域中具有滑动边界条件的两相流模型。我们确定了该系统的经典解决方案的全球存在,只要初始能源很小。此外,当初始压力允许大振荡和真空时,压力具有较大的振荡,并包含真空状态。最后,我们还获得了经典解决方案的大型行为。
We consider the two-phase flow model with slip boundary condition in a 3D exterior domains whose boundary is smooth. We establish the global existence of classical solutions of this system provided that the initial energy is suitably small. Moreover, the pressure has large oscillations and contains vacuum states when the initial pressure allows large oscillations and a vacuum. Finally, we also obtain the large-time behavior of the classical solutions.