Global strong solutions to the 3D viscous liquid-gas two-phase flow model

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. (C) 2020 Elsevier Inc. All rights reserved.

Automated summary

This paper investigates strong solutions to the 3D viscous liquid-gas two-phase flow model with initial vacuum. It proves the global existence of strong solutions under the assumption that initial data is small. A major advancement compared to previous results is the allowance of initial masses of liquid and gas to contain vacuum regions, as well as the establishment of higher-order estimates for the two masses and pressure without any constraints between the initial masses of liquid and gas.