Effective thermal conduction of a Signorini-type problem in composites with rough interface
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913846852059136 |
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| author | Monsurrò, Sara Perugia, Carmen Raimondi, Federica |
| author_facet | Monsurrò, Sara Perugia, Carmen Raimondi, Federica |
| contents | We analyse the effect of a Signorini-type interface condition on the asymptotic behaviour, as ε 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 γ. Different limit problems are obtained according to the values of γ and the amplitude of the interface oscillations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13172 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effective thermal conduction of a Signorini-type problem in composites with rough interface Monsurrò, Sara Perugia, Carmen Raimondi, Federica Analysis of PDEs We analyse the effect of a Signorini-type interface condition on the asymptotic behaviour, as ε 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 γ. Different limit problems are obtained according to the values of γ and the amplitude of the interface oscillations. |
| title | Effective thermal conduction of a Signorini-type problem in composites with rough interface |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.13172 |