Optimal Stability Thresholds in Rotating Fully Anisotropic Porous Medium with LTNE

The onset of thermal convection in an anisotropic horizontal porous layer heated from below and rotating about vertical axis, under local thermal non-equilibrium hypothesis is studied. Linear and nonlinear stability analysis of the conduction solution is performed. Coincidence between the linear instability and the global nonlinear stability thresholds with respect to the L-2-norm is proved.

Automated summary

This study examines the onset of thermal convection in an anisotropic horizontal porous layer heated from below and rotating about a vertical axis under the assumption of local thermal non-equilibrium. Both linear and nonlinear stability analyses of the conduction solution are conducted, showing a coincidence between the linear instability and the global nonlinear stability thresholds with respect to the L-2-norm.