The Stability for the Two-dimensional Incompressible MHD System with Mixed Dissipation

The global well-posedness and stability on the two-dimensional (2D) incompressible magnetohydrodynamics (MHD) system are studied in this paper. More precisely, when the MHD system only has the dissipation of the second component of the magnetic field and mixed dissipation of velocity, this system is stable. Another main goal is to establish the large-time behavior of the solution for the linear system.

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Publication Details

Journal
Asian Research Journal of Mathematics
Published
2024-09-06
DOI
https://doi.org/10.9734/arjom/2024/v20i9834
Primary Topic
Navier-Stokes equation solutions
Type
article
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article

The Stability for the Two-dimensional Incompressible MHD System with Mixed Dissipation

Hang Song
Asian Research Journal of Mathematics
Navier-Stokes equation solutions
article

The Stability for the Two-dimensional Incompressible MHD System with Mixed Dissipation

Hang Song
article en

Abstract

The global well-posedness and stability on the two-dimensional (2D) incompressible magnetohydrodynamics (MHD) system are studied in this paper. More precisely, when the MHD system only has the dissipation of the second component of the magnetic field and mixed dissipation of velocity, this system is stable. Another main goal is to establish the large-time behavior of the solution for the linear system.

Asian Research Journal of MathematicsVol. 20(9)
Henan Polytechnic University (CN)
Openalex Percentile: Top 74%
Navier-Stokes equation solutions
DOIOpen Access PDFOpenAlex
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The Stability for the Two-dimensional Incompressible MHD System with Mixed Dissipation — Hang Song · Asian Research Journal of Mathematics (2024) | TGRS Research Map | TGRS