Analysis of a Diffuse Interface Model for Two-Phase Compressible Flows with van der Waals Equation of State
报 告 人:: 施小丁
报告地点:: 数学与统计学院6楼大应用数学实验室
报告时间:: 2019年01月19日星期六14:30-15:30

This talk 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 the sharp interface limit of the strong solution is considered.  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 method of matched asymptotic expansion, 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.

发 布 人:吴双 发布时间: 2019-01-14