The 2<i>D</i> MHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion

Yang, Xiaoting (2019) The 2<i>D</i> MHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion. American Journal of Computational Mathematics, 09 (02). pp. 81-96. ISSN 2161-1203

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Abstract

In this paper, we study the global regularity of the classical solution of the 2D incompressible magnetohydrodynamic equation with vertical dissipation and vertical magnetic dissipation. We show that any solution of the second component (u2, b2) has a global L2r -bound, where r satisfies and the boundary does not grow faster than as r increases.

Item Type: Article
Subjects: GO STM Archive > Mathematical Science
Depositing User: Unnamed user with email support@gostmarchive.com
Date Deposited: 19 Jun 2023 07:28
Last Modified: 18 May 2024 08:06
URI: http://journal.openarchivescholar.com/id/eprint/1150

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