Solution of nonlinear heat conduction equation and image method (Q1069039)
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scientific article; zbMATH DE number 3931565
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solution of nonlinear heat conduction equation and image method |
scientific article; zbMATH DE number 3931565 |
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Solution of nonlinear heat conduction equation and image method (English)
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1984
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The author proves that, for a nonlinear heat conduction equation, there is no discontinuous solution. Some methods of solution for a nonlinear conduction equation are depicted. For a plane interface, the reflection and transmission of a heat wave are given by the method of images. The first order approximation by this method is proved. Lastly, the prevention of superheated electrons in laser imposion of deuterium tritium gas sphere with a shell made of high Z material is interpreted.
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nonlinear heat conduction
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discontinuous solution
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plane interface
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reflection
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transmission
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superheated electrons
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