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A nonlocal parabolic system modelling axially symmetric thermoelastic contact of two discs - MaRDI portal

A nonlocal parabolic system modelling axially symmetric thermoelastic contact of two discs (Q1359650)

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scientific article; zbMATH DE number 1031635
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English
A nonlocal parabolic system modelling axially symmetric thermoelastic contact of two discs
scientific article; zbMATH DE number 1031635

    Statements

    A nonlocal parabolic system modelling axially symmetric thermoelastic contact of two discs (English)
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    6 July 1997
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    The author considers a quasistatic thermoelastic contact problem for a disc and a ring. Under the axial symmetry, the displacement can be expressed in terms of the temperature differences \(\theta^i\), \(i=1,2\), leading to a nonlocal parabolic system for \(\theta^i\). A suitable transformation leads finally to a parabolic system that can be solved and yields the well-posedness of the original problem.
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    ring
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    temperature differences
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    transformation
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    well-posedness
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