Global well-posedness for the 2D MHD equations with only vertical velocity damping term

Global well-posedness for the 2D MHD equations with only vertical velocity damping term

This paper concerns two-dimensional (2D) incompressible magnetohydrodynamic (MHD) equations without magnetic diffusion with only vertical velocity damping term in the periodic domain. We prove the stability and decay rate for smooth solutions on perturbations near a background magnetic field of the...

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Bibliographic Details
Main Authors: Huan Long, Suhui Ye
Format: Article
Language:English
Published: AIMS Press 2024-12-01
Series:AIMS Mathematics
Subjects:
magnetohydrodynamic equations
global solutions
diophantine condition
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241725

Internet

https://www.aimspress.com/article/doi/10.3934/math.20241725

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