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Abstract:
The influence of anisotropic diffusive coefficients on the stability of the horizontal fluid planar layer, rotating about vertical axis, and permeated by a horizontal homogeneous magnetic field is studied. The linear stability analysis is performed using the separable solutions in the form of horizontal rolls. The onset of stationary motions is examined [1] for the present study. The weakly nonlinear behaviour of the convective motion in the vicinity of primary instability threshold is studied from the Landau-Ginzburg equation with cubic nonlinearity. This amplitude equation is obtained after using the multiple scale analysis and the modified normal mode solutions. The linear stability analysis of the amplitude equation is performed to investigate the secondary instabilities, such as Eckhaus instability and zig-zag instability. <br><br>Reference: <br>1. T. Šoltis, J. Brestenský, (2009), Rotating magnetoconvection with anisotropic diffusivities in the Earth’s core, Physics of the Earth and Planetary Interiors, 178, 27-38.
