Structural stability for the Darcy equations of flow in porous media
Structural stability for the Darcy equations of flow in porous media
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DOI：
10.1098/rspa.1998.0227
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发表时间：
1998-06
期刊：
影响因子：
--
通讯作者：
L. Payne;B. Straughan
中科院分区：
文献类型：
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作者：
L. Payne;B. Straughan
导出了多孔体在牛顿冷却型边界条件下的渗流达西方程的先验边界。借助这些先验边界，我们能够证明当采用牛顿冷却型边界条件时，对冷却系数的连续依赖。我们进一步表明，解连续地依赖于达西方程中物体力所使用的状态方程的变化。允许从一种Boussinesq对流模式转变为一种更一般的对流模式，并建立了结构稳定性。
A priori bounds are derived for the Darcy equations of flow 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.