A differential problem for heat equation with a boundary condition with memory (Q1370439)
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scientific article; zbMATH DE number 1078543
| Language | Label | Description | Also known as |
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| English | A differential problem for heat equation with a boundary condition with memory |
scientific article; zbMATH DE number 1078543 |
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A differential problem for heat equation with a boundary condition with memory (English)
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1 July 1998
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The aim is to establish some theorems on existence, uniqueness, and asymptotic stability for the differential (linear) problem of heat conduction in a rigid body. We provide a statement of the second law of thermodynamics in order to take into account the dissipation effects on the boundary. Then we derive the restrictions imposed by the second law on the relaxation function.
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existence
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uniqueness
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asymptotic stability
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second law of thermodynamics
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dissipation effects
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relaxation function
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