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Existence of solutions to a one-dimensional model of bounded piezoelectric material - MaRDI portal

Existence of solutions to a one-dimensional model of bounded piezoelectric material (Q838407)

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scientific article; zbMATH DE number 5598200
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Existence of solutions to a one-dimensional model of bounded piezoelectric material
scientific article; zbMATH DE number 5598200

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    Existence of solutions to a one-dimensional model of bounded piezoelectric material (English)
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    25 August 2009
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    Summary: We study the dynamic of piezoelectric bodies with switchable domains, described by a coupling of an hyperbolic equation and a parabolic one. We consider the one dimensional case and prove local existence of solutions.
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    heat equation
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    wave equation
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    fixed point theorem
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    parabolic-hyperbolic system
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    local existence
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