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http://bura.brunel.ac.uk/handle/2438/26108| Title: | Periodic Solutions in R^n for Stationary Anisotropic Stokes and Navier-Stokes Systems |
| Authors: | Mikhailov, SE |
| Issue Date: | 26-May-2022 |
| Publisher: | Springer Nature |
| 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. |
| 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. |
| 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/). |
| URI: | https://bura.brunel.ac.uk/handle/2438/26108 |
| DOI: | https://doi.org/10.1007/978-3-031-07171-3_16 |
| ISBN: | 978-3-031-07170-6 (hbk) 978-3-031-07171-3 (ebk) |
| Other Identifiers: | ORCID iD: Sergey E. Mikhailov https://orcid.org/0000-0002-3268-9290 16 |
| Appears in Collections: | Dept of Mathematics Research Papers |
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|---|---|---|---|---|
| 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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