Existence, uniqueness and regularity of the first boundary-initial value problem for hyperbolic equations system of the thermal stresses theory for temperature-rate-dependent solids (Q1093397)
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scientific article; zbMATH DE number 4022711
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence, uniqueness and regularity of the first boundary-initial value problem for hyperbolic equations system of the thermal stresses theory for temperature-rate-dependent solids |
scientific article; zbMATH DE number 4022711 |
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Existence, uniqueness and regularity of the first boundary-initial value problem for hyperbolic equations system of the thermal stresses theory for temperature-rate-dependent solids (English)
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1987
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Existence, uniqueness and regularity theorems for a particular displacement-temperature initial-boundary value problem of linear homogeneous isotropic temperature-rate dependent thermoelasticity in which Fourier's law is not violated are given. It is assumed that the region under consideration is bounded, thermomechanical coupling can be ignored, and the displacement-temperature boundary conditions are homogeneous. The theorems sound like those obtained by the author e.g. ibid. 34, 447-460 (1986; Zbl 0621.73004).
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weak solution
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Faedo-Galerkin method
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Sobolev spaces
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regularity theorems
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displacement-temperature initial-boundary value problem
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linear homogeneous isotropic temperature-rate dependent thermoelasticity
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