تقرير
Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method
| العنوان: | Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method |
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| المؤلفون: | Aiyappan, S., Cardone, G., Perugia, C., Prakash, R. |
| المصدر: | Nonlinear Analysis: Real World Applications 66 (2022), 103537 |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 80M35, 80M40, 35B27 |
| الوصف: | In this paper, the asymptotic behavior of the solutions of a monotone problem posed in a locally periodic oscillating domain is studied. Nonlinear monotone boundary conditions are imposed on the oscillating part of the boundary whereas the Dirichlet condition is considered on the smooth separate part. Using the unfolding method, under natural hypothesis on the regularity of the domain, we prove the weak $L^2$-convergence of the zero-extended solutions of the nonlinear problem and their flows to the solutions of a limit distributional problem. Comment: 16 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.nonrwa.2022.103537 |
| URL الوصول: | http://arxiv.org/abs/2107.02523 |
| رقم الأكسشن: | edsarx.2107.02523 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.nonrwa.2022.103537 |
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