Existence of weak solutions for the nonstationary problem of the Joule heating of a conductor (Q1210146)
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scientific article; zbMATH DE number 169830
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of weak solutions for the nonstationary problem of the Joule heating of a conductor |
scientific article; zbMATH DE number 169830 |
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Existence of weak solutions for the nonstationary problem of the Joule heating of a conductor (English)
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16 May 1993
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The author considers an initial-boundary value problem for a system of two nonlinear partial differential equations using the Faedo-Galerkin method. The problem describes the electric heating of a conducting body. The main result is a theorem of existence of weak solutions for an arbitrarily large interval of time.
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nonlinear elliptic-parabolic system
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initial-boundary value problem
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Faedo-Galerkin method
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