双孔隙度的一般模型

Alain Bourgeat , Maria Goncharenko , Michel Panfilov , Leonid Pankratov
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引用次数: 3

摘要

我们考虑一个抛物方程,该方程在块体集[]和周围裂隙系统[[]中具有高度对比的扩散系数。在没有假设的情况下,通过变分均匀化,我们发现了非平稳模型和平稳模型在块数趋于无穷大时的全局行为。
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Un modèle général de double porosité

We consider a parabolic equation with highly contrasted diffusion coefficients in the blocks set ℳ(ɛ) and in the surrounding fissures system ℱ(ɛ). Without a assumption, for a large range of contrast and by mean of variational homogenization, we find the global behavior when the numbers of blocks tends to infinity, for both the non stationary and the stationary model.

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