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DC Field | Value | Language |
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dc.contributor.author | Mikhailov, S | - |
dc.contributor.author | Wendland, WL | - |
dc.date.accessioned | 2022-07-05T09:38:28Z | - |
dc.date.available | 2022-07-05T09:38:28Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | Kohr. M., Mikhailov. S., Wendland. W.L. (2022) 'On some mixed-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces', Journal of Mathematical Analysis and Aplication, 0, pp.1 - 24. doi: | en_US |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/24796 | - |
dc.description.abstract | The main purpose of this paper is the analysis of mixed-transmission problems for the anisotropic Stokes system in a compressible framework and in bounded Lipschitz domains with transversal Lipschitz interfaces in Rn, n ≥ 2. Mixed problems and mixed-transmission problems for the anisotropic Navier-Stokes system in dimension n ∈ {2, 3} are also considered. The anisotropy is highlighted by an L∞-viscosity tensor coefficient, which satisfies an ellipticity condition in terms of symmetric matrices in Rn×n with null traces. In the first part we use a variational approach to show the well-posedness of the analyzed linear problems for the Stokes system in L2-based Sobolev spaces. In the second part we show the existence and uniqueness of a weak solution of the mixed problem for the anisotropic compressible Navier-Stokes system with small data in L2-based Sobolev spaces in a bounded Lipschitz domain in Rn, n ∈ {2, 3}. A mixed-transmission problem for the Navier-Stokes system in a Lipschitz domain with a transversal Lipschitz interface is also considered. | en_US |
dc.description.sponsorship | The research has been supported by the grant EP/M013545/1: ”Mathematical Analysis of Boundary-Domain Integral Equations for Nonlinear PDEs” from the EPSRC, UK. M. Kohr has been partially sup ported by the Babes¸-Bolyai University research grant AGC35124/31.10.2018. W.L. Wendland has been partially supported by ”Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy-EXC 2075-390740016”. | en_US |
dc.format.extent | 1 - 24 | - |
dc.language.iso | en_US | en_US |
dc.publisher | Journal of Mathematical Analysis and Applications | en_US |
dc.subject | Anisotropic Stokes and Navier-Stokes systems with L ∞ coefficients | en_US |
dc.subject | variational approach | en_US |
dc.subject | L 2 -based Sobolev spaces | en_US |
dc.subject | mixed and mixed-transmission problems | en_US |
dc.subject | existence and uniqueness results | en_US |
dc.subject | fixed point theorem 2000 MSC: 35J57, 35Q30, 46E35, 76D, 76M | en_US |
dc.title | On some mixed-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces | en_US |
dc.type | Article | en_US |
dc.relation.isPartOf | Journal of Mathematical Analysis and Applications | - |
pubs.publication-status | Accepted | - |
pubs.volume | 0 | - |
Appears in Collections: | Dept of Mathematics Embargoed Research Papers |
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FullText.pdf | Embargo till published | 259.25 kB | Adobe PDF | View/Open |
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