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On the operator (utt-εuxx)t-(utt-uxx)xx related to thermomechanics of fluids

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Sommario

Si analizza un operatore del quarto ordine, collegato con la termomeccanica dei fluidi, studiando il suo polinomio caratteristico. Tale analisi è successivamente utilizzata per risolvere un problema misto relativo a tale operatore. Si mostra come la soluzione abbia un comportamento dissipativo in accordo con il significato fisico del problema.

Summary

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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Authors and Affiliations

  1. Dipartimento di Matematica ed Applicazioni R. Caccioppoli dell'Università di Napoli, Via Mezzocannone 8, 80134, Napoli, Italia

    Donatella Iannece & Giulio Starita

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  1. Donatella Iannece
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  2. Giulio Starita
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Iannece, D., Starita, G. On the operator (utt-εuxx)t-(utt-uxx)xx related to thermomechanics of fluids. Meccanica 23, 29–35 (1988). https://doi.org/10.1007/BF01561007

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  • DOI: https://doi.org/10.1007/BF01561007

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