On local singularities in mathematical models of physical fields (Q2714510)
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scientific article; zbMATH DE number 1606957
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On local singularities in mathematical models of physical fields |
scientific article; zbMATH DE number 1606957 |
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20 June 2001
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character of singularities
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concept of general solution
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singular solutions
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solution near the singularities
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0.8839228
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0.8695484
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On local singularities in mathematical models of physical fields (English)
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A unique approach of determining the character of singularities in different physical fields is presented. The approach is based on the introduction of a concept of general solution to the boundary value problem. These general solutions allow a complete description of the field around the singularity points. It is shown that the singular solutions provide a reliable decription of the quantative and qualitative characteristics of the field outside a small zone in the singularity neighborhood. The analysis of singular solutions demonstrates the difficulties in interpreting the physical meaning of the solution near the singularities.
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