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Existence and continuous dependence for solutions to the equations of a one-dimensional model in gas-dynamics

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Sommario

Proviamo l'esistenza e la dipendenza continua di soluzioni per i moti unidimensionali di un gas viscoso politropico in regioni arbitrarie. In particolare, nel caso in cui la regione del moto è non limitata, non assumiamo che la distribuzione di densità all'istante iniziale abbia estremo inferiore strettamente positivo.

Summary

We prove existence and continuous dependence of solutions to one-dimensional motions of a politropic viscous gas in arbitrary regions. In particular, in case of unbounded regions we do not assume the initial density distribution to have a strict positive lower bound.

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Authors and Affiliations

  1. Istituto di Matematica «R. Caccioppoli», Napoli

    Mariarosaria Padula

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  1. Mariarosaria Padula
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This work has been realized within the activities of the Italian Council for the Research (C.N.R.), gruppo nazionale della fisica matematica (G.N.F.M.).

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Padula, M. Existence and continuous dependence for solutions to the equations of a one-dimensional model in gas-dynamics. Meccanica 16, 128–135 (1981). https://doi.org/10.1007/BF02128441

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  • DOI: https://doi.org/10.1007/BF02128441

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