CONTINUOUS DEPENDENCE FOR THE BRINKMAN EQUATIONS OF FLOW IN DOUBLE-DIFFUSIVE CONVECTION

被引：0

作者：

Tu, Hongliang ^{[1
]}

Lin, Changhao ^{[2
]}

机构：

[1] Jilin Univ, Zhuhai Coll, Dept Appl Math, Changchun 519041, Peoples R China

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年

关键词：

Continuous dependence; structural stability; gravity coefficients; Soret coefficient; Brinkman equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：10

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