On the propagation of harmonic heat waves due to a periodic of punches on an infinite strip (Q2718051)
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scientific article; zbMATH DE number 1606267
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the propagation of harmonic heat waves due to a periodic of punches on an infinite strip |
scientific article; zbMATH DE number 1606267 |
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21 January 2002
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harmonic heat waves
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mixed problem
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discrete Riemann problem
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singular integral equation
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Hilbert kernel
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On the propagation of harmonic heat waves due to a periodic of punches on an infinite strip (English)
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This paper concerns the propagation of harmonic heat waves in a periodic system of punches on an infinite ship. The corresponding parabolic type mixed problem is converted to a discrete Riemann problem which is reduced to a singular integral equation with Hilbert kernel. In this equation, the unknown is the unbounded extension of the heat flow. The problem is reduced to an infinite system of algebraic equations. The solution of this system through truncation is justified.
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