THE ASYMPTOTIC STABILITY OF PHASE SEPARATION STATES FOR COMPRESSIBLE IMMISCIBLE TWO-PHASE FLOW IN 3D  

作　　者：陈亚洲 Hakho HONG 施小丁 Yazhou CHEN;Hakho HONG;Xiaoding SHI(College of Mathematics and Physics,Beijing University of Chemical Technology,Beijing 100029,China;Address Institute of Mathematics,State Academy of Sciences,Pyongyang,D P R Korea)

机构地区：[1]College of Mathematics and Physics,Beijing University of Chemical Technology,Beijing 100029,China [2]Address Institute of Mathematics,State Academy of Sciences,Pyongyang,D P R Korea

出　　处：《Acta Mathematica Scientia》2023年第5期2133-2158,共26页数学物理学报（B辑英文版）

基　　金：partially supported by the NationalNatural Science Foundation of China(12171024,11901025,11971217,11971020);the Academic and Technical Leaders Training Plan of Jiangxi Province(20212BCJ23027)。

摘　　要：This paper is concerned with a diffuse interface model called Navier-Stokes/CahnHilliard system.This model is usually used to describe the motion of immiscible two-phase flows with a diffusion interface.For the periodic boundary value problem of this system in torus T3,we prove that there exists a global unique strong solution near the phase separation state,which means that no vacuum,shock wave,mass concentration,interface collision or rupture will be developed in finite time.Furthermore,we establish the large time behavior of the global strong solution of this system.In particular,we find that the phase field decays algebraically to the phase separation state.

关 键 词：Navier-Stokes/Cahn-Hilliard system strong solution existence UNIQUENESS large-time behavior 

分 类 号：O35[理学—流体力学]