title: Оn momentum flow density of the gravitational field
metadata.name: dc.contributor.author
metadata.value: Drivotin, Oleg I.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-07-14T12:55:50Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-07-14T12:55:50Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Drivotin О. I. Оn momentum flow density of the gravitational field. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 2, pp. 137-147.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https //doi.org/10.21638/11701/spbu10.2021.204
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/29866
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Momentum is considered on the basis of the approach widely used in the calculus of variations and in the optimal control theory, where variation of a cost functional is investigated. In physical theory, it is the action functional. Action variation under Lie dragging can be expressed as a surface integral of some differential form. The momentum density flow is defined using this form. In this work, the momentum balance equation is obtained. This equation shows that the momentum field transforms into a momentum of a mass. Examples showing the momentum flow structure for a mass distribution representing a uniform thin layer are provided.
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. Applied Mathematics. Computer Science. Control Processes;Volume 17; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: action variation of the gravitational field
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: momentum flow density of the gravitational field
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: momentum balance equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: thin layer with uniform mass distribution
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Оn momentum flow density of the gravitational field
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 137-147.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/29866/1/137-147.pdf
resources.format: Adobe PDF
resources.size: 357,58 kB