Corrector estimates for the homogenization of a locally periodic medium with areas of low and high diffusivity

DOI10.1017/S0956792513000090zbMath1293.35029arXiv1104.0180OpenAlexW2122298284MaRDI QIDQ2866717

T. L. Van Noorden, Adrian Muntean

Publication date: 13 December 2013

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0180

zbMATH Keywords

heterogeneous materialstransmission conditionadvection-diffusion-reaction systemmicro-macro transport

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

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• On the rate of convergence of solutions in domain with periodic multilevel oscillating boundary
• Homogenisation of a locally periodic medium with areas of low and high diffusivity
• Analysis of the heterogeneous multiscale method for parabolic homogenization problems
• Crystal precipitation and dissolution in a thin strip

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