Structural stability for double-diffusion Brinkman fluid with Soret effect

Abstract

Abstract This paper considers the double diffusive Brinkman flow in a semi-infinite pipe. By establishing a priori estimates of the solutions and setting an appropriate “energy” function, we not only obtain the continuous dependence and convergence of the solution on the Soret coefficient but also prove that the solutions decay exponentially with the distance from the finite end of the cylinder.

Keywords

• Brinkman flow
• Soret coefficient
• Continuous dependence
• Convergence