Approximation of the trajectory attractor of the 3D MHD system

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Authors

Deugoue, Gabriel

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American Institute of Mathematical Sciences (AIMS)

Abstract

We study the connection between the long-time dynamics of the 3D magnetohydrodynamic- model and the exact 3D magnetohydrodynamic system. We prove that the trajectory attractor U of the 3D magnetohydrodynamic- model converges to the trajectory attractor U0 of the 3D magnetohydrodynamic system (in an appropriate topology) when approaches zero.

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Keywords

Magnetohydrodynamic-alpha model, Trajectory attractor, Magnetohydrodynamic equations, Navier-Stokes equations

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Citation

Deugoue, G 2013, 'Approximation of the trajectory attractor of the 3D MHD system', Communications on Pure and Applied Analysis, vol. 12, no. 5, pp. 2119-2144.