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A free boundary problem with moving source - MaRDI portal

A free boundary problem with moving source (Q1065290)

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scientific article; zbMATH DE number 3921151
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English
A free boundary problem with moving source
scientific article; zbMATH DE number 3921151

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    A free boundary problem with moving source (English)
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    1984
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    This paper with a two-dimensional free boundary problem arising from welding. The main goal of the paper is to consider the shape of the weld pool within a mathematical model which consists of the heat equation and the latent heat equation, and may include different physical effects. It is proved that a teardrop-shaped weld pool with a sharp vertex at the tail end cannot occur for any reasonable temperature function.
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    moving source
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    phase-change problems
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    two-dimensional free boundary problem
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    welding
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    mathematical model
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