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- W2893419076 abstract "This paper is concerned with a diffuse interface model for the gas-liquid phase transition. The model consists the compressible Navier-Stokes equations with van der Waals equation of state and a modified Allen-Cahn equation. The global existence and uniqueness of strong solution with the periodic boundary condition (or the mixed boundary condition) in one dimensional space is proved for large initial data. Furthermore, the phase variable and the density of the gas-liquid mixture are proved to stay in the physical reasonable interval. The proofs are based on the elementary energy method and the maximum principle, but with new development, where some techniques are introduced to establish the uniform bounds of the density and to treat the non-convexity of the pressure function." @default.
- W2893419076 created "2018-10-05" @default.
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- W2893419076 date "2018-09-30" @default.
- W2893419076 modified "2023-09-27" @default.
- W2893419076 title "Global Solution for Gas-Liquid Flow of 1-D van der Waals Equation of State with Large Initial Data." @default.
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