Homogenization in a thin domain with an oscillatory boundary
| العنوان: | Homogenization in a thin domain with an oscillatory boundary |
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| المؤلفون: | Marcone C. Pereira, José M. Arrieta |
| المصدر: | E-Prints Complutense. Archivo Institucional de la UCM instname Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP E-Prints Complutense: Archivo Institucional de la UCM Universidad Complutense de Madrid |
| بيانات النشر: | arXiv, 2011. |
| سنة النشر: | 2011 |
| مصطلحات موضوعية: | Physics, Mathematics(all), EQUAÇÕES DIFERENCIAIS, Homogenization, Applied Mathematics, General Mathematics, Mathematical analysis, Thin domain, Oscillatory boundary, Homogenization (chemistry), Condensed Matter::Soft Condensed Matter, Mathematics - Analysis of PDEs, Amplitude, Neumann boundary condition, FOS: Mathematics, Ecuaciones diferenciales, Laplace operator, Analysis of PDEs (math.AP) |
| الوصف: | In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type $R^\epsilon = \{(x,y) \in \R^2; x \in (0,1), 0 < y < \epsilon G(x, x/\epsilon)\} $ where the function G(x,y) is periodic in y of period L. Observe that the upper boundary of the thin domain presents a highly oscillatory behavior and, moreover, the height of the thin domain, the amplitude and period of the oscillations are all of the same order, given by the small parameter $\epsilon$. Comment: 27 pages, 2 figures |
| وصف الملف: | application/pdf |
| DOI: | 10.48550/arxiv.1101.3503 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdcdc57b84e8533ff6c481d0e2736b84Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....bdcdc57b84e8533ff6c481d0e2736b84 |
| قاعدة البيانات: | OpenAIRE |
| DOI: | 10.48550/arxiv.1101.3503 |
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