Roughness effect on Neumann boundary condition (Q2897189)
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scientific article; zbMATH DE number 6053771
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Roughness effect on Neumann boundary condition |
scientific article; zbMATH DE number 6053771 |
Statements
9 July 2012
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Neumann boundary condition
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roughness effect
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homogenization
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Laplace equation
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water waves equation
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asymptotic expansions
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periodic roughness
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Roughness effect on Neumann boundary condition (English)
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The author studies the effect of a properly scaled periodic roughness on a Neumann (and Robin) boundary condition. He uses asymptotic expansions to obtain ``wall laws'' for simple domains for the Laplace equation and for the water waves equation. The results are validated also numerically for a test case.
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