Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 272, Issue -, Pages 732-759Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2020.10.016
Keywords
Global strong solution; Viscous liquid-gas two-phase flow; Vacuum
Categories
Funding
- National Natural Science Foundation of China [11701192]
- Program for Innovation Research Team in Science and Technology in Fujian Province University, Quanzhou High-Level Talents Support Plan [2017ZT012]
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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.
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.
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