title: Secular Terms for the Kinetic Mckean Model
metadata.name: dc.contributor.author
metadata.value: Dukhnovsky, Sergey Anatolievich
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-04-11T10:59:29Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-04-11T10:59:29Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-03
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2023.108
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41281
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this article, we investigate the kinetic McKean model. The perturbed solution of the Cauchy problem is sought in the form of Fourier series. The Fourier coefficients for the zero and nonzero modes are written out, respectively. The original system is reduced to an infinite system of differential equations. An approximation for the systems is constructed. Under certain assumptions, we find secular terms (non-integrable part). This, in turn, will allow us to prove for the first time the exponential stabilization of the solution in the future.
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 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: kinetic model
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Fourier series
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Knudsen parameter
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: secular terms
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Secular Terms for the Kinetic Mckean Model
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 125-136.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41281/1/125-136.pdf
resources.format: Adobe PDF
resources.size: 223,86 kB