Linear Bifurcation of Diffusive Convection Micropolar Fluid in Porous Media

In this paper, we consider diffusive micropolar equations in porous media and present linear stability regimes of parameters. We find all parametric eigenvalues and eigenvectors of the linear part of the Brinkman-Eringen equations. Then, we show that this linear part of the operator is sectorial. We also find two critical parameters that dictated Hopf and saddle-node bifurcations of the problem. Finally, we establish the principle of exchange of stabilities.