Global strong solutions to the viscous liquid-gas two-phase flow model with slip boundary conditions in 3D exterior domains
Nonlinear Analysis: Real World Applications(2023)
摘要
This paper is concerned with the viscous liquid-gas two-phase flow model in a three-dimensional exterior domain with the slip boundary conditions. We are able to prove the existence of a global strong solution when the initial total energy is suitably small. The initial masses of liquid and gas are allowed to contain a vacuum, with no extra restriction between the initial masses of liquid and gas. It should be noted here that we consider the slip boundary condition in a three dimensional (3D) exterior domain which is in sharp contrast to result of Yu (2021) where they consider the Cauchy problem.(c) 2022 Elsevier Ltd. All rights reserved.
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关键词
Viscous liquid-gas two -fluid flow,model,Global solution,Exterior domain
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