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Stability and large time decay for the 3D anisotropic MHD-Boussinesq equations near the hydrostatic equilibrium

This paper investigates the three-dimensional anisotropic magnetohydrodynamics-Boussinesq equations with horizontal fractional dissipation for perturbations around the hydrostatic equilibrium. By thoroughly leveraging the system’s inherent structure, energy-based approaches, and bootstrapping argument… Click to show full abstract

This paper investigates the three-dimensional anisotropic magnetohydrodynamics-Boussinesq equations with horizontal fractional dissipation for perturbations around the hydrostatic equilibrium. By thoroughly leveraging the system’s inherent structure, energy-based approaches, and bootstrapping argument techniques, we demonstrate the global stability of the system and the decay rates induced by sufficiently small initial data.

Keywords: anisotropic; stability large; hydrostatic equilibrium; boussinesq equations

Journal Title: AIP Advances
Year Published: 2025

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