Structural stability for the Darcy equations of flow in porous media

被引：73
|
作者：
Payne, LE
Straughan, B
机构：
[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA
[2] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1998年 / 454卷 / 1974期
关键词：
Darcy equations for porous media; structural stability; Newton's law of cooling; non-Boussinesq convection;
D O I：
10.1098/rspa.1998.0227
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A priori bounds are derived for the Darcy equations of how in porous media when the porous body is subject to boundary conditions of Newton cooling type. With the aid of these a priori bounds we are able to demonstrate continuous dependence on the cooling coefficient when the boundary condition of Newton cooling type is employed. We further show that the solution depends continuously on a change in the equation of state employed in the body force in the Darcy equation. The model is allowed to change from one of Boussinesq convection type to one more general, and structural stability is established.
引用
收藏
页码：1691 / 1698
页数：8
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