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Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity - MaRDI portal

Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity (Q1162378)

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scientific article; zbMATH DE number 3755959
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English
Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
scientific article; zbMATH DE number 3755959

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    Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity (English)
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    1981
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    nonlinear evolution equations
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    finite thermoelastic deformations
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    free energy density depends 'genuinely' on deformation gradient and temperature
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    refined version of energy method
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    local existence- uniqueness
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    Faedo-Galerkin method
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    contraction mapping
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    global existence- uniqueness
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