Asymptotic behaviour of the solution of an elliptic boundary value problem in a thin domain (Q1207895)
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scientific article; zbMATH DE number 165460
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behaviour of the solution of an elliptic boundary value problem in a thin domain |
scientific article; zbMATH DE number 165460 |
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Asymptotic behaviour of the solution of an elliptic boundary value problem in a thin domain (English)
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16 May 1993
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The mixed boundary value problem for elliptic systems of differential equations of second order in the \(n\)-dimensional cylinder of small height \(h\) is considered in the case, where the corresponding limit problem contains a small parameter \(\varepsilon= h^ \theta\) at the highest derivatives, \(\theta\in (0,1)\). It is supposed, that the limit problem is regularly degenerating at \(\varepsilon\to 0\).
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mixed boundary value problem
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elliptic systems of differential equations of second order
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limit problem
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