Semilinear parabolic problems in thin domains with a highly oscillatory boundary
| العنوان: | Semilinear parabolic problems in thin domains with a highly oscillatory boundary |
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| المؤلفون: | Ricardo P. Silva, José M. Arrieta, Marcone C. Pereira, Alexandre N. Carvalho |
| المصدر: | Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
| بيانات النشر: | Elsevier BV, 2011. |
| سنة النشر: | 2011 |
| مصطلحات موضوعية: | Nonlinear system, Partial differential equation, Line segment, Applied Mathematics, Attractor, Mathematical analysis, Dissipative system, A domain, EQUAÇÕES DIFERENCIAIS ORDINÁRIAS, Homogenization (chemistry), Analysis, Mathematics |
| الوصف: | In this paper, we study the behavior of the solutions of nonlinear parabolic problems posed in a domain that degenerates into a line segment (thin domain) which has an oscillating boundary. We combine methods from linear homogenization theory for reticulated structures and from the theory on nonlinear dynamics of dissipative systems to obtain the limit problem for the elliptic and parabolic problems and analyze the convergence properties of the solutions and attractors of the evolutionary equations. |
| تدمد: | 0362-546X |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88fa7c06bed0c46989716950b033498dTest https://doi.org/10.1016/j.na.2011.05.006Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....88fa7c06bed0c46989716950b033498d |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 0362546X |
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