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DC Field | Value | Language |
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dc.contributor.author | Kohr, M | - |
dc.contributor.author | Mikhailov, SE | - |
dc.contributor.author | Wendland, WL | - |
dc.date.accessioned | 2021-01-21T12:24:02Z | - |
dc.date.available | 2021-01-21T12:24:02Z | - |
dc.date.issued | 2021-05-07 | - |
dc.identifier.citation | Kohr, M., Mikhailov, S.E. and Wendland, W.L. (2021) 'Layer potential theory for the anisotropic Stokes system with variable L∞ symmetrically elliptic tensor coefficient', Mathematical Methods in the Applied Sciences, in press, pp. 1–34. doi: 10.1002/mma.7167. | en_US |
dc.identifier.issn | 0170-4214 | - |
dc.identifier.uri | https://bura.brunel.ac.uk/handle/2438/22128 | - |
dc.description.abstract | © 2021 The Authors. The aim of this paper is to develop a layer potential theory in L2-based weighted Sobolev spaces on Lipschitz bounded and exterior domains of Rn , n ≥ 3, for the anisotropic Stokes system with L∞ viscosity tensor coefficient satisfying an ellip- ticity condition for symmetric matrices with zero matrix trace. To do this, we explore equivalent mixed variational formulations and prove the well-posedness of some transmission problems for the anisotropic Stokes system in Lipschitz domains of Rn, with the given data in L2-based weighted Sobolev spaces. These results are used to define the volume (Newtonian) and layer potentials and to obtain their properties. Then, we analyze the well-posedness of the exterior Dirichlet and Neumann problems for the anisotropic Stokes system with L∞ symmetrically elliptic tensor coefficient by representing their solutions in terms of the obtained volume and layer potentials. | - |
dc.description.sponsorship | EPSRC grant EP/M013545/1: "Mathematical Analysis of Boundary-Domain Integral Equations for Nonlinear PDEs"; Babeş-Bolyai University research grant AGC35124/31.10.2018; Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy-EXC 2075-390740016. | en_US |
dc.format.extent | 1 - 32 (32) | - |
dc.format.medium | Print-Electronic | - |
dc.language.iso | en_US | en_US |
dc.publisher | Wiley Periodicals LLC | en_US |
dc.rights | © 2021 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons Ltd. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. | - |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
dc.subject | potential theory | en_US |
dc.subject | partial differential equations | en_US |
dc.subject | anisotropic Stokes system | en_US |
dc.subject | discontinuous coefficient | en_US |
dc.subject | variational problem | en_US |
dc.subject | Newtonian and layer potentials | en_US |
dc.subject | weighted Sobolev spaces | en_US |
dc.subject | transmission problems | en_US |
dc.subject | exterior Dirichlet and Neumann problems | en_US |
dc.subject | well-posedness | en_US |
dc.title | Layer potential theory for the anisotropic Stokes system with variable $L_\infty$ symmetrically elliptic tensor coefficient | en_US |
dc.title.alternative | Layer potential theory for the anisotropic Stokes system with variable L∞ symmetrically elliptic tensor coefficient | - |
dc.type | Article | en_US |
dc.identifier.doi | https://doi.org/10.1002/mma.7167 | - |
dc.relation.isPartOf | Mathematical Methods in the Applied Sciences | - |
pubs.publication-status | Published | - |
dc.identifier.eissn | 1099-1476 | - |
Appears in Collections: | Dept of Mathematics Research Papers |
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