研讨班报告

偏微分方程研讨班:Sharp Interface Limit for Compressible Non-Isentropic Phase-Field Model

发布时间:2024-11-25
 

中国科学院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

Speaker: 施小丁 教授(北京化工大学)

Title: Sharp Interface Limit for Compressible Non-Isentropic Phase-Field Model

Time&Venue: 20241127日(星期14:00-15:00 &腾讯会议:263-411-114会议密码:2024

Abstract: In this talk, we porpose the sharp interface limit for the compressible non-isentropic Navier-Stokes/Allen-Cahn system using the method of matched asymptotic expansion. We show that the leading order problem satisfies the compressible Navier-Stokes equations with the interface being a free boundary with proper interface conditions. We also give the dynamical equation of the interface and the transmission conditions of outer flows at the interface.


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