NONLINEAR STABILITY PROBLEM OF A ROTATING POROUS LAYER

The nonlinear stability of the rotating Bernard problem was studied in a porous medium. The generalized Brinkman model was used as a prototype for high porosity for high porosity porous media, and, based on it, the energy theory of Galdi and Padua was applied. After presenting the basic perturbation equations, the evolution equation of an energy functional was derived. Then, the variational problem was solved and calculations to determine the critical energy bounds were carried out.