Asymptotic behaviour of linear Dirichlet parabolic problems with variable operators depending on time in varying domains
We study the asymptotic behaviour of the solutions of linear parabolic Dirichlet problems when the coefficients and the domains where the problems are posed vary simultaneously. In the limit problem it appear the H-limit of the operators, and as it is usual in the homogenization of Dirichlet problem...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2005 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/138668 |
| Online Access: | https://hdl.handle.net/11441/138668 https://doi.org/10.1016/j.jmaa.2004.12.051 |
| Access Level: | Open access |
| Keyword: | Homogenization Dirichlet problems Parabolic problems Varying domains H-convergence |
| Summary: | We study the asymptotic behaviour of the solutions of linear parabolic Dirichlet problems when the coefficients and the domains where the problems are posed vary simultaneously. In the limit problem it appear the H-limit of the operators, and as it is usual in the homogenization of Dirichlet problems, a new term of order zero. We also obtain a corrector result. |
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