Periodic unfolding method for domains with very small inclusions
DOI:
https://doi.org/10.58997/ejde.2023.85Keywords:
Homogenization; imperfect interface; small inclusions; unfolding methodAbstract
This work creates a version of the periodic unfolding method suitable for domains with very small inclusions in \(\mathbb{R}^N\) for \(N\geq 3\). In the first part, we explore the properties of the associated operators. The second part involves the application of the method in obtaining the asymptotic behavior of a stationary heat dissipation problem depending on the parameter \( \gamma < 0\). In particular, we consider the cases when \(\gamma \in (-1,0)\), \( \gamma < -1\) and \(\gamma = -1\). We also include here the corresponding corrector results for the solution of the problem, to complete the homogenization process.
For more information see https://ejde.math.txstate.edu/Volumes/2023/85/abstr.html
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