Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary
| العنوان: | Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary |
|---|---|
| المؤلفون: | Saulo R. M. Barros, Marcone C. Pereira |
| المصدر: | Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
| سنة النشر: | 2016 |
| مصطلحات موضوعية: | Steady state, EQUAÇÕES DIFERENCIAIS PARCIAIS, Applied Mathematics, 010102 general mathematics, Mathematical analysis, Open set, Zero (complex analysis), Boundary (topology), 01 natural sciences, Domain (mathematical analysis), 010101 applied mathematics, Neumann boundary condition, Limit (mathematics), Boundary value problem, 0101 mathematics, Analysis, Mathematics |
| الوصف: | In this paper we analyze the behavior of a family of steady state solutions of a semilinear reaction–diffusion equation with homogeneous Neumann boundary condition, posed in a two-dimensional thin domain with reaction terms concentrated in a narrow oscillating neighborhood of the boundary. We assume that the domain, and therefore, the oscillating boundary neighborhood, degenerates into an interval as a small parameter ϵ goes to zero. Our main result is that this family of solutions converges to the solution of a one-dimensional limit equation capturing the geometry and oscillatory behavior of the open sets where the problem is established. |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f38a9a3c0609484282cf1b3bd7bd9b1b |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....f38a9a3c0609484282cf1b3bd7bd9b1b |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |