Dirichlet problem in domains with thin bridges (Q802075)
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scientific article; zbMATH DE number 3881126
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dirichlet problem in domains with thin bridges |
scientific article; zbMATH DE number 3881126 |
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Dirichlet problem in domains with thin bridges (English)
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1984
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The authors consider the Dirichlet problem for the Laplace equation in a domain depending on a small positive parameter \(\epsilon\). It is supposed that some part of the domain lies in the space between two smooth surfaces, the distance between them is of order \(\epsilon\). This problem is of great importance in mechanics. The complete asymptotic series for the solution is obtained.
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domains with thin bridges
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Dirichlet problem
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Laplace equation
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