The Stability of Three-dimensional Incompressible MHD with Mixed Dissipation

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.

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Publication Details

Journal
International Journal of Mathematics Trends and Technology
Published
2024-09-30
DOI
https://doi.org/10.14445/22315373/ijmtt-v70i9p103
Primary Topic
Gas Dynamics and Kinetic Theory
Type
article
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article

The Stability of Three-dimensional Incompressible MHD with Mixed Dissipation

Hang Song
International Journal of Mathematics Trends and Technology
Gas Dynamics and Kinetic Theory
article

The Stability of Three-dimensional Incompressible MHD with Mixed Dissipation

Hang Song
article en

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.

International Journal of Mathematics Trends and TechnologyVol. 70(9)
Henan Polytechnic University (CN)
Openalex Percentile: Top 69%
Gas Dynamics and Kinetic Theory
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The Stability of Three-dimensional Incompressible MHD with Mixed Dissipation — Hang Song · International Journal of Mathematics Trends and Technology (2024) | TGRS Research Map | TGRS