title: Solitary waves on a cylinder shell with liquid
metadata.name: dc.contributor.author
metadata.value: Korenkov, Andrey N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-05-24T09:32:36Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-05-24T09:32:36Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Korenkov A. N. Solitary waves on a cylinder shell with liquid. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 1, pp. 131– 143.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2019.110
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15543
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Traditionally, non-linear wave propagation has been under consideration in classical hydro-dynamics, as well as in such areas of physics like optics and plasma theory. By contrast, we study the same problem within the framework of deformable solid body theory. Speciﬁcally, non-linear wave propagation is considered in a basic model of pipeline. We make use of classical non-linear thin elastic shell equilibrium equations along with Euler equations for a non-compressible non-viscous liquid. A soliton-type asymptotic solution is constructed. The existence of the single soliton on the “dry” shell is proved; while on the “ﬁlled up” shell there exist exactly two solitons. The behavior of these solutions was studied under the inter-connectedness factor, numerical results are provided. The results obtained may be put in practice, like construction engineering.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 6 (64); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: non-linear wave propagation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: dispersion
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: soliton
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: solitary wave
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: thin shell
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nonviscous liquid
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic solution
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Solitary waves on a cylinder shell with liquid
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 131-143.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15543/1/131-143.pdf
resources.format: Adobe PDF
resources.size: 1,02 MB