Exact solutions for nonclassical Stefan problems (Q606257)

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scientific article; zbMATH DE number 5816472
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Exact solutions for nonclassical Stefan problems
scientific article; zbMATH DE number 5816472

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    Exact solutions for nonclassical Stefan problems (English)
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    16 November 2010
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    Summary: We consider one-phase nonclassical unidimensional Stefan problems for a source function \(F\) which depends on the heat flux, or the temperature on the fixed face \(x=0\). In the first case, we assume a temperature boundary condition, and in the second case we assume a heat flux boundary condition or a convective boundary condition at the fixed face. Exact solutions of a similarity type are obtained in all cases.
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    one space dimension
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    solutions of a similarity type
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