三维可压缩Navier-Stokes-Cahn-Hilliard方程组Cauchy问题解的适定性  

Well-posedness of the Cauchy problem for compressible Navier-Stokes-Cahn-Hilliard equations in 3D

作　　者：侯东杰 赵奥明 陈亚洲[1] HOU DongJie;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）》2023年第5期118-125,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：研究了三维可压缩Navier-Stokes-Cahn-Hilliard方程组Cauchy问题解的适定性,该方程组描述了具有扩散界面的非混相两相流的流动。对于初始值在相分离附近的小扰动,运用能量方法结合Schauder不动点定理,证明了该问题全局强解的存在唯一性。The well-posedness of the Cauchy problem for the 3D compressible Navier-Stokes-Cahn-Hilliard equation,which describes immiscible two-phase flow with a diffuse interface has been studied.The energy method and the Schauder fixed point theorem were used to prove the existence and uniqueness of the global strong solution for small initial perturbations near the phase separation.

关 键 词：Navier-Stokes-Cahn-Hilliard(NSCH)方程组 CAUCHY问题 存在唯一性 

分 类 号：O29[理学—应用数学]