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Trajectory Attractors for Binary Flu

時(shí)間:2023-04-26 14:49:37 數(shù)理化學(xué)論文 我要投稿
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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(xué)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(hào): 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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