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 作者单位： 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： 数学年刊B辑（英文版） ISTIC SCI 英文刊名： CHINESE ANNALS OF MATHEMATICS,SERIES B 年，卷(期)： 2010 31(5) 分类号： O1 关键词： Navier-Stokes equations Allen-Cahn equations Cahn-Hilliard equations Two-phase fluid flows Longtime behavior Trajectory attractors