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DC Field | Value | Language |
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dc.contributor.author | Kohr, M | - |
dc.contributor.author | Lanza de Cristoforis, M | - |
dc.contributor.author | Mikhailov, S | - |
dc.contributor.author | Wendland, W | - |
dc.date.accessioned | 2016-09-06T10:26:31Z | - |
dc.date.available | 2016-09-01 | - |
dc.date.available | 2016-09-06T10:26:31Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | Zeitschrift fur angewandte Mathematik und Physik ZAMP, 67 (116), 2016 | en_US |
dc.identifier.issn | 1420-9039 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/13131 | - |
dc.description.abstract | The purpose of this paper is to obtain existence and uniqueness results in weighted Sobolev spaces for transmission problems for the non-linear Darcy-Forchheimer-Brinkman system and the linear Stokes system in two complementary Lipschitz domains in R3, one of them is a bounded Lipschitz domain with connected boundary, and the other one is the exterior Lipschitz domain R3 n. We exploit a layer potential method for the Stokes and Brinkman systems combined with a fixed point theorem in order to show the desired existence and uniqueness results, whenever the given data are suitably small in some weighted Sobolev spaces and boundary Sobolev spaces. | en_US |
dc.format.extent | ? - ? (30) | - |
dc.language.iso | en | en_US |
dc.subject | The Stokes system | en_US |
dc.subject | The Darcy-Forchheimer-Brinkman system | en_US |
dc.subject | Transmission problems | en_US |
dc.subject | Lipschitz domains in R3 | en_US |
dc.subject | Layer potentials | en_US |
dc.subject | Weighted Sobolev spaces | en_US |
dc.subject | Fixed point theorem | en_US |
dc.title | Integral potential method for a transmission problem with Lipschitz interface in R^3 for the Stokes and Darcy–Forchheimer–Brinkman PDE systems | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/s00033-016-0696-1 | - |
dc.relation.isPartOf | Zeitschrift fur angewandte Mathematik und Physik ZAMP | - |
pubs.issue | 116 | - |
pubs.publication-status | Published | - |
pubs.volume | 67 | - |
Appears in Collections: | Dept of Mathematics Research Papers |
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FullText.pdf | 522.67 kB | Adobe PDF | View/Open |
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