Pullback attractors for a non-autonomous Cahn-Hilliard-Navier-Stokes system in 2D

被引：11

作者：

Medjo, T. Tachim ^{[1
]}

机构：

[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA

来源：

ASYMPTOTIC ANALYSIS | 2014年 / 90卷 / 1-2期

关键词：

pullback attractor; non-autonomous two-phase flow; cocycle; PHASE-FIELD MODEL; 2-PHASE FLOW; COCYCLE ATTRACTORS; GLOBAL ATTRACTOR; EQUATIONS; BEHAVIOR; FLUIDS;

D O I：

10.3233/ASY-141225

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article studies the pullback asymptotic behavior of solutions for a non-autonomous Cahn-Hilliard-Navier-Stokes (CH-NS) system in a two-dimensional domain. We prove the existence of pullback attractors A(VM) in V-M (the velocity has the H-1-regularity) and A(YM) in Y-M (the velocity has the L-2-regularity). Then we verify the regularity of the pullback attractors by proving that A(YM) = A(YM), which implies the pullback asymptotic smoothing effect of the model in the sense that the solutions eventually become more regular than the initial data.

引用

页码：21 / 51

页数：31

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