Hongliang Tu, Changhao Lin
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
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
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Hongliang Tu Department of Applied Mathematics Zhuhai college of Jilin University, 519041, China email: tuhongliang00@126.com |
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Changhao Lin School of Mathematical Sciences South China Normal University, 510631, China email: linchh@scnu.edu.cn |
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