Global classical solutions to the viscous two-phase flow model with slip boundary conditions in 3D exterior domains

被引：0
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作者：
Zilai Li
Hao Liu
Huaqiao Wang
Daoguo Zhou
机构：
[1] Henan Polytechnic University,School of Mathematics and Information Science
[2] Chongqing University,College of Mathematics and Statistics
[3] Hangzhou Normal University,School of Mathematics
来源：
Boundary Value Problems | / 2023卷
关键词：
Two-phase flow model; Global existence; Slip boundary condition; Exterior domains; Vacuum; Large-time behavior; 35Q35; 35Q30; 35A09; 35B40;
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摘要：
We consider the two-phase flow model in 3D exterior domains with slip boundary conditions. We establish the global existence of classical solutions of this system, provided that the initial energy is suitably small. Furthermore, we prove that 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.
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