Large time and space size behaviour of the heat equation in non-cylindrical domains (Q378884)
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scientific article; zbMATH DE number 6226070
| Language | Label | Description | Also known as |
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| English | Large time and space size behaviour of the heat equation in non-cylindrical domains |
scientific article; zbMATH DE number 6226070 |
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Large time and space size behaviour of the heat equation in non-cylindrical domains (English)
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12 November 2013
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The paper under review deals with an initial-boundary value problem for the Heat equation over a non-cylindrical unbounded domain \(Q.\) More precisely, setting \(\Omega_t\) for the section of \(Q\) above \(t,\) is is supposed that \(\Omega_t\) becomes unbounded in some directions when \(t\to+\infty.\) The author proves asymptotically exponential convergence of the solutions of such problems towards the solution of an elliptic problem defined on a lower dimensional domain.
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Asymptotic behaviour
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Moving boundary problems
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Non-cylindrical domains
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Stability
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Heat equation
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