Homogenization of the boundary value for the Dirichlet problem (Q2335346)
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scientific article
| Language | Label | Description | Also known as |
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| English | Homogenization of the boundary value for the Dirichlet problem |
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Homogenization of the boundary value for the Dirichlet problem (English)
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14 November 2019
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The authors focus on a mathematically rigorous proof of the averaging behavior of oscillatory surface integrals. They identify a geometric rule called \textit{irrational direction dense condition} under which the averaging takes place. As an application, they prove the homogenization asymptotics for elliptic systems with Dirichlet boundary data in \(C^1\)-domains.
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boundary layer
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oscillatory surface integral
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irrational direction
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corrector
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