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arXiv · 2310.12903

Homogenization of a nonlinear elliptic problem with imperfect rough interface

S. Monsurrò·C. Perugia·F. Raimondi
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Abstract

This paper deals with an elliptic problem with a nonlinear lower order term set in an open bounded cylinder of $R^N$, $N\geq 2$, divided into two connected components by an imperfect rough interface. More precisely, we assume that at the interface the flux is continuous and proportional, via a nonlinear rule, to the jump of the solution. According to the amplitude of the interface oscillations and the proportionality coefficient, we derive different homogenized problems.

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S. Monsurrò, C. Perugia, F. Raimondi. 2023-10-19. Homogenization of a nonlinear elliptic problem with imperfect rough interface. https://arxiv.org/abs/2310.12903

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