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In this paper, we consider the three-dimensional viscous liquid-gas two phase flow model in a half-space \(\Omega=\{x\in\mathbb{R}^{3}:x_{3}>0\}\), where the initial vacuum is allowed. We prove the existence of the global classical solutions when the energy of the initial data is small enough.

Global classical solution for a 3D viscous liquid-gas two-fluid flow model in a half-space