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.
作者
赵奥明
陈亚洲
ZHAO AoMing;CHEN YaZhou(College of Mathematics and Physics,Beijing University of Chemical Technology,Beijing 100029,China)
出处
《北京化工大学学报（自然科学版）》
CAS
CSCD
北大核心
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)。
