Trajectory attractors for binary fluid mixtures in 3D
Trajectory attractors for binary fluid mixtures in 3D
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DOI：
10.1007/s11401-010-0603-6
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发表时间：
2010-08
期刊：
影响因子：
--
通讯作者：
C. Gal;M. Grasselli
中科院分区：
文献类型：
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作者：
C. Gal;M. Grasselli
考虑了不可压缩二元流体混合物在三维有界域中演化的两种不同模型。它们由三维不可压缩的Navier-Stokes方程组成，受制于时间相关的外力，并与对流的Allen-Cahn或Cahn-Hilliard方程耦合。这样的系统可以看作是Navier-Stokes方程在两相流体中的推广。利用轨迹方法，证明了两种系统的轨迹吸引子的存在性。
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.