Spatial decay bound and structural stability for the double-diffusion perturbation equations

Abstract

In this paper, we study the double-diffusion perturbation equations when the flow is through a porous medium. If the initial conditions satisfy some constraint conditions, the Saint-Venant type spatial decay of solutions for double-diffusion perturbation equations is obtained. Based on the spatial decay bound, the structural stability for the double-diffusion perturbation equations is also established.

Keywords

• perturbation equations
• spatial decay
• saint-venant type
• structural stability