Abstract This paper concerns strong solutions to the 3D viscous liquid–gas two–phase flow model with initial vacuum. Strong solutions are proved to exist globally in time under the assumption that initial data is small in some sense. Compared to previous results, the major step forward is that the initial masses of liquid and gas are allowed to contain some vacuum regions and the higher–order estimates of the two masses and pressure are established, without any constraints between the initial masses of liquid and gas.

中文翻译：

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3D 粘性液气两相流模型的全局强解

摘要 本文涉及具有初始真空的 3D 粘性液气两相流模型的强解。在假设初始数据在某种意义上很小的情况下，强解被证明在时间上全局存在。与之前的结果相比，向前迈出的主要一步是允许液体和气体的初始质量包含一些真空区域，并建立了两个质量和压力的高阶估计值，而液体和气体的初始质量之间没有任何限制。气体。