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http://bura.brunel.ac.uk/handle/2438/27021| Title: | Periodic Solutions in R<sup>n</sup> for Stationary Anisotropic Stokes and Navier-Stokes Systems |
| Other Titles: | Periodic Solutions in Rn for Stationary Anisotropic Stokes and Navier-Stokes Systems |
| Authors: | Mikhailov, SE |
| Issue Date: | 26-May-2022 |
| Publisher: | Birkhäuser (part of Springer Nature) |
| Citation: | Mikhailov, 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. |
| Abstract: | Copyright © 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} |
| Description: | Conference proceedings Preprint 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]). |
| URI: | https://bura.brunel.ac.uk/handle/2438/27021 |
| DOI: | https://doi.org/10.1007/978-3-031-07171-3_16 |
| ISBN: | 978-3-031-07170-6 (pbk) 978-3-031-07171-3 (ebk) |
| Other Identifiers: | ORCID iD: Sergey E. Mikhailov https://orcid.org/0000-0002-3268-9290 arXiv:2111.04170v2 |
| Appears in Collections: | Dept of Mathematics Research Papers |
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|---|---|---|---|---|
| Preprint.pdf | Copyright © 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. | 190.71 kB | Adobe PDF | View/Open |
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