Stability of the 3D MHD equations without vertical dissipation near an equilibrium

Important progress has been made on the standard Laplacian case with mixed partial dissipation and diffusion. The stability problem of the 3D incompressible magnetohydrodynamic (MHD) equations without vertical dissipation but with the fractional velocity dissipation $ (-\Delta)^\alpha u $ and magnet...

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Bibliographic Details
Main Authors: Ruihong Ji, Liya Jiang, Wen Luo
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023612?viewType=HTML