Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 92, pp. 1-9.

Title: Continuous dependence for the Brinkman equations 
       of flow in double-diffusive convection

Authors: Hongliang Tu (Jilin Univ., China)
         Changhao Lin (South China Normal Univ., China)

Abstract:
 This paper  concerns the  structural  stability for
 convective motion in a fluid-saturated porous medium
 under the Brinkman scheme. Continuous dependence for the
 solutions on the gravity coefficients and the Soret coefficient
 are proved. First of all,  an a priori bound in
 $L^2$ norm is derived whereby we show the solution depends
 continuously in $L^2$ norm on changes in the gravity coefficients
 and the Soret coefficient. This estimate also implies that the solutions
 decay exponentially.

Submitted April 9, 2007. Published June 16, 2007.
Math Subject Classifications: 35B30, 35K55, 35Q35.
Key Words: Continuous dependence; structural stability;
       gravity coefficients; Soret coefficient; Brinkman equations