Two-scale analysis for very rough thin layers. An explicit characterization of the polarization tensor (Q627940)
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scientific article; zbMATH DE number 5860472
| Language | Label | Description | Also known as |
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| English | Two-scale analysis for very rough thin layers. An explicit characterization of the polarization tensor |
scientific article; zbMATH DE number 5860472 |
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Two-scale analysis for very rough thin layers. An explicit characterization of the polarization tensor (English)
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4 March 2011
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The paper deals with the study of the oscillating behaviour of a steady-state voltage potential in a material composed of a two-dimensional object surrounded by a very rough thin layer embedded in an ambient medium. The roughness of the layer is assumed to be quasi-periodic. For a certain fixed scaling, the authors are able to ``replace'' the rough layer by a suitable (a priori non-intuitive) transmission condition. They basically extend own results obtained for the easier case of periodic roughness.
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rough thin layers
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two-scale analysis
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effective polarization tensor
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transmission conditions
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