三维可压缩Navier-Stokes-Allen-Cahn方程组Cauchy问题的适定性  

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

作　　者：王静[1] 侯东杰 陈亚洲[1] WANG Jing;HOU DongJie;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）》2022年第4期117-123,共7页Journal of Beijing University of Chemical Technology(Natural Science Edition)

基　　金：国家自然科学基金(11671027/11901025)。

摘　　要：研究了一类刻画具有扩散界面的非混相两相流模型,即可压缩Navier-Stokes-Allen-Cahn方程组的Cauchy问题。在初始小扰动的条件下,通过能量估计的方法证明了三维Navier-Stokes-Allen-Cahn方程组全局强解的存在唯一性。We have studied the Cauchy problem of a compressible immiscible two-phase flow model with a diffuse interface in 3 D.The model employed involves coupled Navier-Stokes and Allen-Cahn equations.Under the assumption of small initial perturbations,we prove by energy estimates that there is a global unique strong solution.

关 键 词：Navier-Stokes-Allen-Cahn(NSAC)方程组 存在唯一性 非混相两相流 

分 类 号：O29[理学—应用数学]