Trajectory Attractors for Binary Fluid Mixtures in 3D

Two different models for the evolution of incompressible binary fluid mixtures in a three-dimensional bounded domain are considered. They consist of the 3D incompressible Navier-Stokes equations, subject to time-dependent external forces and coupled with either a convective Allen-Cahn or Cahn-Hilliard equation. Such systems can be viewed as generalizations of the Navier-Stokes equations to two-phase fluids. Using the trajectory approach, the authors prove the existence of the trajectory attractor for both systems.

作 者： Ciprian G.GAL Maurizio GRASSELLI   作者單位： Ciprian G.GAL(Department of Mathematics, University of Missouri, Columbia, MO 65211, USA)

Maurizio GRASSELLI(Dipartimento di Matematica "F.Brioschi",Politecnico di Milano,20133 Milano,Italy) 

刊 名： 數(shù)學年刊B輯（英文版）  ISTIC SCI 英文刊名： CHINESE ANNALS OF MATHEMATICS,SERIES B  年，卷(期)： 2010 31(5)  分類號： O1  關(guān)鍵詞： Navier-Stokes equations   Allen-Cahn equations   Cahn-Hilliard equations   Two-phase fluid flows   Longtime behavior   Trajectory attractors  

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