Analyticity of the global attractor for the 3D regularized MHD equations

Analyticity of the global attractor for the 3D regularized MHD equations

We study the three-dimensional (3D) regularized magnetohydrodynamics (MHD) equations. Using the method of splitting of the asymptotic approximate solutions into higher and lower Fourier components, we prove that the global attractor of the 3D regularized MHD equations consists of real analytic f...

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Bibliographic Details
Main Authors: Caidi Zhao, Bei Li
Format: Article
Language:English
Published: Texas State University 2016-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Regularized MHD equations
global attractor
Gevrey regularity
analyticity
Online Access:http://ejde.math.txstate.edu/Volumes/2016/179/abstr.html
Description
Summary:We study the three-dimensional (3D) regularized magnetohydrodynamics (MHD) equations. Using the method of splitting of the asymptotic approximate solutions into higher and lower Fourier components, we prove that the global attractor of the 3D regularized MHD equations consists of real analytic functions, whenever the forcing terms are analytic.
ISSN:1072-6691

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