Effective thermal conduction of a Signorini-type problem in composites with rough interface
Analysis of PDEs
2025-05-20 v1
Abstract
We analyse the effect of a Signorini-type interface condition on the asymptotic behaviour, as {\epsilon} tends to zero, of a problem posed in an open bounded cylinder of {R^N}, {N\geq 2}, divided in two connected components by an imperfect rough surface. The Signorini-type condition is expressed by means of two complementary equalities involving the jump of the solution on the interface and its conormal derivative via a parameter {\gamma}. Different limit problems are obtained according to the values of {\gamma} and the amplitude of the interface oscillations.
Keywords
Cite
@article{arxiv.2505.13172,
title = {Effective thermal conduction of a Signorini-type problem in composites with rough interface},
author = {Sara Monsurrò and Carmen Perugia and Federica Raimondi},
journal= {arXiv preprint arXiv:2505.13172},
year = {2025}
}