On the coupled linear theory of thermoviscoelasticity of porous materials (Q6576343)
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scientific article; zbMATH DE number 7884707
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the coupled linear theory of thermoviscoelasticity of porous materials |
scientific article; zbMATH DE number 7884707 |
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On the coupled linear theory of thermoviscoelasticity of porous materials (English)
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22 July 2024
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In this paper the author considers the problem posed for a porous-viscoelastic material when a fluid flows through the porous medium and Fourier heat conduction takes place.\N\NFirst, the author recalls the basic equations which governs the problem in the case of steady vibrations. Second, the fundamental solutions are obtained. Third, the uniqueness of the classical solutions (for internal and external boundary value problems) is presented with the help of Green's identities. Forth, surface and volume potentials as well as their basic properties are obtained. The article ends with an existence result for classical solutions with the help of the potential method and the arguments from singular integral equations.
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Darcy flow model
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Fourier thermal conduction
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Green identity
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existence
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uniqueness
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potential method
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boundary integral equation method
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