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On the operator \((u_{tt}-\epsilon u_{xx})_ t-(u_{tt}- u_{xx})_{xx}\) related to thermomechanics of fluids - MaRDI portal

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On the operator \((u_{tt}-\epsilon u_{xx})_ t-(u_{tt}- u_{xx})_{xx}\) related to thermomechanics of fluids (Q1117760)

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scientific article; zbMATH DE number 4092956
Language Label Description Also known as
English
On the operator \((u_{tt}-\epsilon u_{xx})_ t-(u_{tt}- u_{xx})_{xx}\) related to thermomechanics of fluids
scientific article; zbMATH DE number 4092956

    Statements

    On the operator \((u_{tt}-\epsilon u_{xx})_ t-(u_{tt}- u_{xx})_{xx}\) related to thermomechanics of fluids (English)
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    1988
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    A fourth-order operator, related to thermomechanics of fluids, is analyzed by studying its characteristic polynomial. This analysis is then used to solve a mixed operator-related problem. The solution is shown to have a dissipative behavior in accordance with the physical meaning of the problem.
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    fourth-order operator
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    thermomechanics of fluids
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    mixed operator-related problem
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