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| Trajectory Attractors for Binary Fluid Mixtures in 3D |
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Citation： |
Ciprian G. GAL,Maurizio GRASSELLI.Trajectory Attractors for Binary Fluid Mixtures in 3D[J].Chinese Annals of Mathematics B,2010,31(5):655~678 |
| Page view： 1929
Net amount： 1117 |
Authors： |
Ciprian G. GAL; Maurizio GRASSELLI; |
Foundation： |
the Italian MIUR-PRIN Research Project 2008 “Transizioni di fase, isteresi e
scale multiple”. |
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| Abstract： |
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. |
Keywords： |
Navier-Stokes equations, Allen-Cahn equations, Cahn-Hilliard equations,
Two-phase fluid flows, Longtime behavior, Trajectory attractors |
Classification： |
35B40, 35B41, 35K55, 35Q35, 76D05, 76T99 |
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