On the homogenization of a two-conductivity problem with flux jump
| Autor: | Claudia Timofte, Renata Bunoiu |
|---|---|
| Přispěvatelé: | Institut Élie Cartan de Lorraine (IECL), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), University of Bucharest, Faculty of Physics |
| Rok vydání: | 2017 |
| Předmět: |
imperfect interface
Materials science Applied Mathematics General Mathematics 010102 general mathematics homogenization the periodic unfolding method AMS subject classification: 35B27 Mechanics Conductivity Thermal diffusivity 01 natural sciences Homogenization (chemistry) 010101 applied mathematics 80M40 Discontinuity (geotechnical engineering) Thermal conductivity 80M35 Jump [MATH]Mathematics [math] 0101 mathematics |
| Zdroj: | Communications in Mathematical Sciences Communications in Mathematical Sciences, International Press, 2017, ⟨10.4310/CMS.2017.v15.n3.a8⟩ |
| ISSN: | 1945-0796 1539-6746 |
| DOI: | 10.4310/cms.2017.v15.n3.a8 |
| Popis: | International audience; In this paper, we study the homogenization of a thermal diffusion problem in a highly heterogeneous medium formed by two constituents. The main characteristics of the medium are the discontinuity of the thermal conductivity over the domain as we go from one constituent to another and the presence of an imperfect interface between the two constituents, where both the temperature and the flux exhibit jumps. The limit problem, obtained via the periodic unfolding method, captures the influence of the jumps in the limit temperature field, in an additional source term, and in the correctors, as well. |
| Databáze: | OpenAIRE |
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