Stability and large time decay for the 3D anisotropic MHD-Boussinesq equations near the hydrostatic equilibrium
Year: 2025
Type: article
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.
Source: AIP Advances
DOI: 10.1063/5.0291011
Author: Xiao Li
Institution: Shenzhen University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,350
OpenAlex ID: W4416150855