Structural Stability For The Brinkman-Forchheimer Equations Of Flow In Double Diffusive Convection

This paper through two different ways to investigate structural stability for convectivemotion in a fluid-saturated porous medium under the Brinkman-Forchheimer scheme withDirichlet and Neumann Boundary data, respectively. Two kinds of structural stability re-sults are payed particular attention to investigate: first, the solution continuously depends onchanging in the Soret coefficient is established; then by using an analogous argument, con-tinuous dependence on changing in the the Forchheimer coefficient is established. A prioribounds in L~2 norm of the solution is obtained whereby we investigate structural stability.