Structural stability for the Darcy model in double diffusive convection flow with Magnetic field effect

Abstract

In this paper, we consider the Darcy model with magnetic field affect which is used to describe the double diffusive flow of a fluid containing a solute. Using the energy estimate methods, we derive the prior bounds of the solutions. By using these a prior bounds, the continuous dependence of the solutions to Darcy model on the magnetic coefficient and the boundary parameter is established.

Keywords

• continuous dependence
• a priori bounds
• darcy flow
• double diffusive