A singularly perturbed problem of the heating of a metal (Q1802633)
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scientific article; zbMATH DE number 205048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A singularly perturbed problem of the heating of a metal |
scientific article; zbMATH DE number 205048 |
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A singularly perturbed problem of the heating of a metal (English)
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6 September 1993
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The paper investigates the singularly perturbed parabolic problem describing metal heating due to convective and radiational heat fluxes. The corresponding initial-boundary value problem for the heat equation is posed under special nonlinear boundary conditions involving the normal derivatives of the solution. By using the Biot number as a small parameter, the full asymptotic solution of the problem is obtained and discussed.
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convective and radiational heat fluxes
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nonlinear boundary conditions
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Biot number
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small parameter
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