Electron. J. Diff. Equ., Vol. 2016 (2016), No. 179, pp. 1-20.

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

Caidi Zhao, Bei Li

Abstract:
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.

Submitted November 10, 2015. Published July 7, 2016.
Math Subject Classifications: 76A10, 76D03, 35Q35.
Key Words: Regularized MHD equations; global attractor; Gevrey regularity; analyticity.

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Caidi Zhao
Department of Mathematics and Information Science
Wenzhou University
Wenzhou, Zhejiang 325035, China
email: zhaocaidi2013@163.com
  Bei Li
Department of Mathematics and Information Science
Wenzhou University
Wenzhou, Zhejiang 325035, China
email: Lbbeili2015@163.com

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