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| The study of instabilities in fluids in which viscosity experiences a transition at a certain temperature range is of great interest for the understanding of planetary interiors, since this phenomena is suitable for representing a lithosphere over a convecting mantle. To this end, we study a 2D convection problem with periodic boundary conditions along the horizontal coordinate, which introduce the O(2) symmetry, infinite Prandtl number and viscosity dependent on temperature.
Notable solutions are found for a sharp transition viscosity law in which time-dependent solutions sporadically through abrupt bursts, alternate an upper stagnant lid with spontaneous plate-like behaviors that move either towards the right or towards the left. |
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