Periodic Stability of Flow in Partially Saturated Porous Media
Periodic Stability of Flow in Partially Saturated Porous Media
复制标题
部分饱和多孔介质中流动的周期稳定性
DOI：
10.1007/978-3-0348-7301-7_9
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发表时间：
1990
影响因子：
1.4
通讯作者：
M. Kubo
中科院分区：
文献类型：
--
作者：
N. Kenmochi;M. Kubo
设 Ω⊂R N (N≥2) 为有界域，指的是多孔介质占据的区域。不可压缩流体通过 Ω 的非稳态饱和-不饱和流动由以下形式的方程控制（参见 Alt [1]、Alt-Luckhaus-Visintin [3] 和 Kenmochi-Pawlow [12]）：
$${{\partial }_{t}}b(u)-\nabla \times [\nabla u+k(u)]~=~0~in~J\times $$
(0.1)
Let Ω⊂R N (N≥2) be a bounded domain which refers to a region occupied with porous medium. Nonsteady saturated-unsaturated flow of an incompressible fluid through Ω is governed by an equation of the following form (cf. Alt [1], Alt-Luckhaus-Visintin [3] and Kenmochi-Pawlow [12]):
$${{\partial }_{t}}b(u)-\nabla \times [\nabla u+k(u)]~=~0~in~J\times $$
(0.1)