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On the weak solution of the von Karman model with thermoelastic plates (Q6575028)

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scientific article; zbMATH DE number 7883551
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English
On the weak solution of the von Karman model with thermoelastic plates
scientific article; zbMATH DE number 7883551

    Statements

    On the weak solution of the von Karman model with thermoelastic plates (English)
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    19 July 2024
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    This paper considers the problem determined by the von Karman model (which describes small nonlinear vertical vibrations of elastic plates) coupled with Fourier heat conduction and with clamped boundary conditions. Existence, uniqueness and continuous dependence on the initial data are obtained by the Galerkin approximation. The study concludes with a numerical approach to the problem by means of the finite difference method.
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    nonlinear vibration
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    Fourier heat conduction
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    rotational inertia effect
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    existence
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    uniqueness
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    Galerkin approximation
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    finite difference method
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