title: Solution of the Carleman System Using Group Analysis
metadata.name: dc.contributor.author
metadata.value: Dukhnovsky, Sergei Anatolievich
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-12-02T15:44:52Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-12-02T15:44:52Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-06
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2024.208
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/48052
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, we consider the discrete kinetic Carleman system. The Carleman system is the Boltzmann kinetic equation, and for this model momentum and energy are not conserved. Using group analysis methods, we obtain a solution representing the density of gas particles in a certain area. This limitation is due to the non-negativity of solution. Similarly, it is possible to find exact solutions for other kinetic models.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
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: Differential Equations and Control Processes;Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: Carleman system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: group analysis
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: invariant solution
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Solution of the Carleman System Using Group Analysis
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 24208-jdecp-dukhnovsky.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/48052/1/24208-jdecp-dukhnovsky.pdf
resources.format: Adobe PDF
resources.size: 98,28 kB