ABSTRACT

We study the homogenization of a double porosity diffusion problem in a thin highly heterogeneous composite medium formed by two materials separated by an imperfect interface, where the solution and its flux exhibit jumps. By applying homogenization techniques specific to the thin periodic domain under study, one derives the limit problem.

中文翻译：

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薄多孔介质中具有跳跃的双孔隙度问题的升级

摘要

我们研究了由不完美界面隔开的两种材料形成的薄的高度异质复合介质中双孔隙率扩散问题的均匀化，其中溶液及其通量表现出跳跃。通过应用特定于所研究的薄周期域的均匀化技术，可以得出极限问题。