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

被引:0
作者
陈亚洲 [1 ]
Hakho HONG [2 ]
施小丁 [1 ]
机构
[1] College of Mathematics and Physics,Beijing University of Chemical Technology
[2] Address Institute of Mathematics,State Academy of Sciences
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中图分类号
O35 [流体力学];
学科分类号
080103 ; 080704 ;
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.
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页码:2133 / 2158
页数:26
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