PULLBACK ATTRACTOR AND INVARIANT MEASURES FOR THE THREE-DIMENSIONAL REGULARIZED MHD EQUATIONS

被引：34

作者：

Zhu, Zeqi ^{[1
]}

Zhao, Caidi ^{[2
]}

机构：

[1] Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Hubei, Peoples R China

[2] Wenzhou Univ, Dept Math & Informat Sci, Wenzhou 325035, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 03期

关键词：

Pullback attractor; invariant measures; regularized MHD equations; NAVIER-STOKES EQUATIONS; DISSIPATIVE DYNAMICAL-SYSTEMS; INVISCID VOIGT-REGULARIZATION; ORDER GLOBAL REGULARITY; UNBOUNDED-DOMAINS; STATISTICAL PROPERTIES; ENERGY EQUATIONS; FLUID; EXISTENCE; MODELS;

D O I：

10.3934/dcds.2018060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article studies the three-dimensional regularized Magnetohy-drodynamics (MHD) equations. Using the approach of energy equations, the authors prove that the associated process possesses a pullback attractor. Then they establish the unique existence of the family of invariant Borel probability measures which is supported by the pullback attractor.

引用

页码：1461 / 1477

页数：17

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