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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/27021
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dc.contributor.authorMikhailov, SE-
dc.date.accessioned2023-08-22T06:32:08Z-
dc.date.available2023-08-22T06:32:08Z-
dc.date.issued2022-05-26-
dc.identifierORCID iD: Sergey E. Mikhailov https://orcid.org/0000-0002-3268-9290-
dc.identifierarXiv:2111.04170v2-
dc.identifier.citationMikhailov, S.E. (2022) 'Periodic Solutions in Rn for Stationary Anisotropic Stokes and Navier-Stokes Systems', in Constanda, C., Bodmann, B.E. and Harris, P.J. (eds.) Integral Methods in Science and Engineering' Cham, Switzerland: Birkhäuser, pp. 227 - 243 .doi: 10.1007/978-3-031-07171-3_16.en_US
dc.identifier.isbn978-3-031-07170-6 (pbk)-
dc.identifier.isbn978-3-031-07171-3 (ebk)-
dc.identifier.urihttps://bura.brunel.ac.uk/handle/2438/27021-
dc.descriptionConference proceedings-
dc.descriptionPreprint of a book chapter published under exclusive license to Springer Nature Switzerland AG In: C. Constanda et al. (eds.), Integral Methods in Science and Engineering, Springer Nature Switzerland, 2022, 227-243, https://doi.org/10.1007/978-3-031-07171-3_16, made available under a CC BY licence on arXiv at https://arxiv.org/abs/2111.04170 (arXiv:2111.04170v2 [math.AP]).-
dc.description.abstractCopyright © 2022 The Author. First, the solution uniqueness and existence of a stationary, anisotropic (linear) Stokes system with constant viscosity coefficients in a compressible framework are analysed on n-dimensional flat torus in a range of periodic Sobolev (Bessel-potential) spaces. By employing the Leray-Schauder fixed point theorem, the linear results are used to show existence of solution to the stationary anisotropic (non-linear) Navier-Stokes incompressible system on torus in a periodic Sobolev space for n ϵ {2, 3}. Then the solution regularity results for stationary anisotropic Navier-Stokes system on torus are established for n ϵ {2, 3}en_US
dc.description.sponsorshipEPSRC Mathematical Analysis of Boundary-Domain Integral Equations for Nonlinear PDEs under grant no. EP/M013545/1.-
dc.format.extent227 - 243-
dc.format.mediumPrint-Electronic-
dc.language.isoen_USen_US
dc.publisherBirkhäuser (part of Springer Nature)en_US
dc.relation.urihttps://arxiv.org/abs/2111.04170-
dc.rightsCopyright © 2022 The Author. This is a preprint of a book chapter published In: C. Constanda et al. (eds.), Integral Methods in Science and Engineering, Springer Nature Switzerland, 2022, 227-243, https://doi.org/10.1007/978-3-031-07171-3_16, made available under a CC BY licence on arXiv at https://arxiv.org/abs/2111.04170.-
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/-
dc.titlePeriodic Solutions in R<sup>n</sup> for Stationary Anisotropic Stokes and Navier-Stokes Systemsen_US
dc.title.alternativePeriodic Solutions in Rn for Stationary Anisotropic Stokes and Navier-Stokes Systemsen_US
dc.typePreprinten_US
dc.identifier.doihttps://doi.org/10.1007/978-3-031-07171-3_16-
pubs.publication-statusPublished-
dc.rights.holderThe Author.-
Appears in Collections:Dept of Mathematics Research Papers

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