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http://bura.brunel.ac.uk/handle/2438/26108Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Mikhailov, SE | - |
| dc.contributor.editor | Constanda, C | - |
| dc.contributor.editor | Bodman, B | - |
| dc.contributor.editor | Harris, P | - |
| dc.date.accessioned | 2023-03-10T14:17:27Z | - |
| dc.date.available | 2023-03-10T14:17:27Z | - |
| dc.date.issued | 2022-05-26 | - |
| dc.identifier | ORCID iD: Sergey E. Mikhailov https://orcid.org/0000-0002-3268-9290 | - |
| dc.identifier | 16 | - |
| dc.identifier.citation | Mikhailov, S.E. (2022) 'Periodic Solutions in R^n for Stationary Anisotropic Stokes and Navier-Stokes Systems', in Constanda, C., Bodman, B. and Harris, P. (eds.) Integral Methods in Science and Engineering Applications in Theoretical and Practical Research. Cham, Switzerland: Springer Nature, pp. 227 - 243. doi: 10.1007/978-3-031-07171-3_16. | en_US |
| dc.identifier.isbn | 978-3-031-07170-6 (hbk) | - |
| dc.identifier.isbn | 978-3-031-07171-3 (ebk) | - |
| dc.identifier.uri | https://bura.brunel.ac.uk/handle/2438/26108 | - |
| dc.description | Corrected manuscript [v2] Sun, 24 Apr 2022 18:04:12 UTC (33 KB). Available at https://arxiv.org/abs/2111.04170 under a Creative Commons (CC BY) Attribution license (http://creativecommons.org/licenses/by/4.0/). | - |
| dc.description.abstract | Copyright © 2022 The Author(s). First, the solution uniqueness and existence of a stationary anisotropic (linear) Stokes system with constant viscosity coefficients in a compressible framework on n-dimensional flat torus are analysed in a range of periodic Sobolev (Bessel-potential) spaces. By employing the Leray-Schauder fixed point theorem, the linear results are employed to show existence of solution to the stationary anisotropic (non-linear) Navier-Stokes incompressible system on torus in a periodic Sobolev space. Then the solution regularity results for stationary anisotropic Navier-Stokes system on torus are established. | - |
| dc.description.sponsorship | Engineering & Physical Sciences Research Council ref. no. EP/M013545/1 (M_Mathematical Analysis of Boundary-Domain Integral Equations for Nonlinear PDEs). | - |
| dc.format.extent | 227 - 243 | - |
| dc.format.medium | Print-Electronic | - |
| dc.language.iso | en_US | en_US |
| dc.publisher | Springer Nature | en_US |
| dc.relation.uri | https://arxiv.org/pdf/2111.04170.pdf | - |
| dc.relation.uri | https://arxiv.org/pdf/2111.04170 | - |
| dc.rights | Copyright © 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG. This is a pre-submission manuscript (preprint), author-produced version of a book chapter (available at under a Creative Commons (CC BY) Attribution license (http://creativecommons.org/licenses/by/4.0/) submitted for publication in Intelligent Decision Technologies following peer review. The final authenticated version is available online at https://doi.org/10.1007/978-3-031-07171-3_16. See: https://www.springernature.com/gp/open-research/policies/book-policies. | - |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
| dc.title | Periodic Solutions in R^n for Stationary Anisotropic Stokes and Navier-Stokes Systems | en_US |
| dc.type | Book chapter | en_US |
| dc.identifier.doi | https://doi.org/10.1007/978-3-031-07171-3_16 | - |
| dc.relation.isPartOf | Integral Methods in Science and Engineering Applications in Theoretical and Practical Research | - |
| pubs.place-of-publication | Cham, Switzerland | - |
| pubs.publication-status | Published | - |
| dc.rights.holder | The Author | - |
| Appears in Collections: | Dept of Mathematics Research Papers | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| FullText.pdf | Copyright © 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG. This is a pre-submission manuscript (preprint), author-produced version of a book chapter (available at under a Creative Commons (CC BY) Attribution license (http://creativecommons.org/licenses/by/4.0/) submitted for publication in Intelligent Decision Technologies following peer review. The final authenticated version is available online at https://doi.org/10.1007/978-3-031-07171-3_16. See: https://www.springernature.com/gp/open-research/policies/book-policies. | 316.43 kB | Adobe PDF | View/Open |
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