The Homogenization Method for the Study of Fluid Flow in Porous Media
The Homogenization Method for the Study of Fluid Flow in Porous Media
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DOI：
10.1007/978-94-009-3717-8_1
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发表时间：
1987
影响因子：
2.7
通讯作者：
H. Ene;D. Polisevski
中科院分区：
文献类型：
--
作者：
H. Ene;D. Polisevski
均匀化方法是研究具有周期结构的域的初值问题和边值问题的一种数学方法。如果一个周期的维度与整个域的尺寸相比很小，那么很自然地可以定义一个小参数ε作为这些维度之间的比率。初值和边值问题的研究都与这个小参数有关。渐近过程ε→0表示从微观现象到宏观现象的过渡。
The homogenization method is a mathematical method used for the study of the initial-value and boundary-value problems in domains with a periodic structure. If the dimensions of a period are small compared to the size of the whole domain, it is natural to define a small parameter ε as the ratio between those dimensions. The study of the initial-value and boundary-value problems is associated with this small parameter. The asymptotic process ε → 0 represents the transition from microscopic to macroscopic phenomena.