Analysis of the small oscillations of a system viscous liquid-barotropic gas in a container

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TitreAnalysis of the small oscillations of a system viscous liquid-barotropic gas in a container
Type de publicationJournal Article
Year of Publication2017
AuteursVivona D., Capodanno P.
JournalMECCANICA
Volume52
Pagination3261-3270
Date PublishedOCT
Type of ArticleArticle
ISSN0025-6455
Mots-clésBarotropic gas, Operatorial and spectral methods, Small oscillations, Variational, Viscous fluid
Résumé

The authors study the problem of the small oscillations of a system viscous liquid- barotropic gas in a fixed container. From the equations of motion and using two auxiliary problems, they reduce the problem to a system of two operatorial equations in a suitable hilbertian space. By means of the methods of the functional analysis, they prove the existence of the spectrum and study its properties.

DOI10.1007/s11012-017-0697-y