The Stability of Three-dimensional Incompressible 
MHD with Mixed Dissipation

Song Hang

doi:https://doi.org/10.14445/22315373/IJMTT-V70I9P103

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 70 | Issue 9 | Year 2024 | Article Id. IJMTT-V70I9P103 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I9P103

The Stability of Three-dimensional Incompressible MHD with Mixed Dissipation

Song Hang

Received	Revised	Accepted	Published
26 Jul 2024	28 Aug 2024	15 Sep 2024	30 Sep 2024

Abstract

In this paper, we investigate the global well-posedness of the three-dimensional (3D) incompressible magnetohydrodynamics (MHD) system with mixed dissipation. More precisely, when the first and third components of velocity have only one direction dissipation and the second component of velocity and the magnetic field have two direction dissipation, the MHD system is stable.

Keywords

Global well-posedness, Magnetohydrodynamics, Mixed dissipation.

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Citation :

Song Hang, "The Stability of Three-dimensional Incompressible MHD with Mixed Dissipation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 9, pp. 12-25, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I9P103