一维可压缩非混相两相流激波解的渐近稳定性  

Asymptotic stability of a shock wave for compressible non⁃miscible two⁃phase flows in 1D

作　　者：赵奥明 陈亚洲[1] ZHAO AoMing;CHEN YaZhou(College of Mathematics and Physics,Beijing University of Chemical Technology,Beijing 100029,China)

机构地区：[1]北京化工大学数理学院,北京100029

出　　处：《北京化工大学学报（自然科学版）》2024年第5期121-128,共8页Journal of Beijing University of Chemical Technology(Natural Science Edition)

基　　金：国家自然科学基金(11901025)。

摘　　要：研究了一维可压缩Navier-Stokes/Allen-Cahn方程Cauchy问题解的大时间行为,该方程组描述了具有扩散界面的非混相两相流的流动。利用反导数方法和能量估计证明了一维可压缩Navier-Stokes/Allen-Cahn方程黏性激波解的存在性和渐近稳定性。In this paper,the large-time behavior of the solution to the Cauchy problem for the one-dimensional compressible Navier-Stokes/Allen-Cahn system,which describes the flow of non-miscible two-phase flows with dif-fusion interfaces,has been studied.Using the anti-derivative and energy method,we demonstrate the existence and asymptotic stability of the viscous shock solution for one-dimensional compressible Navier-Stokes/Allen-Cahn equation.

关 键 词：Navier-Stokes/Allen-Cahn方程组 激波 渐近稳定性 

分 类 号：O29[理学—应用数学]