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Trajectory Attractors for Binary Fluid Mixtures in 3D

查看全文 作  者:Ciprian [1]G.GAL;Maurizio [2]GRASSELLI 高影响力作者 机构地区:[1]Department of Mathematics,University of Missouri;[2]Dipartimento di Matematica 'F. Brioschi',Politecnico di Milano高影响力机构 出  处:《Chinese Annals of Mathematics,Series B》索引2010年第31卷第5期,共24页高影响力期刊 基  金:supported by the Italian MIUR-PRIN Research Project 2008 'Transizioni di fase,isteresi e scale multiple' 摘  要: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. 关 键 词:流体混合物 三维轨迹 吸引子 STOKES方程 二元 不可压缩 流体演化 时间依赖
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