dc.date.accessioned | 2006-04-06T07:41:25Z | |
dc.date.available | 2006-04-06T07:41:25Z | |
dc.date.issued | 2005 | |
dc.identifier.uri | urn:nbn:de:hebis:34-200604069073 | |
dc.identifier.uri | http://hdl.handle.net/123456789/200604069073 | |
dc.format.extent | 288442 bytes | |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Universität Kassel, FB 17, Mathematik/Informatik | ger |
dc.rights | Urheberrechtlich geschützt | |
dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
dc.subject | Stokes-Problem | ger |
dc.subject | Navier-Stokes-Gleichung | ger |
dc.subject | Randwertproblem | ger |
dc.subject | Stokes Problem in layers | eng |
dc.subject | Navier-Stokes system | eng |
dc.subject | Artificial boundary conditions | eng |
dc.subject | Steklov-Poincare operator | eng |
dc.subject.ddc | 510 | |
dc.title | Artificial boundary conditions for the Stokes and Navier-Stokes equations in domains that are layer-like at infinity | eng |
dc.type | Preprint | |
dcterms.abstract | Artificial boundary conditions are presented to approximate solutions to Stokes- and Navier-Stokes problems in domains that are layer-like at infinity. Based on results about existence and asymptotics of the solutions v^infinity, p^infinity to the problems in the unbounded domain Omega the error v^infinity - v^R, p^infinity - p^R is estimated in H^1(Omega_R) and L^2(Omega_R), respectively. Here v^R, p^R are the approximating solutions on the truncated domain Omega_R, the parameter R controls the exhausting of Omega. The artificial boundary conditions involve the Steklov-Poincare operator on a circle together with its inverse and thus turn out to be a combination of local and nonlocal boundary operators. Depending on the asymptotic decay of the data of the problems, in the linear case the error vanishes of order O(R^{-N}), where N can be arbitrarily large. | eng |
dcterms.accessRights | open access | |
dcterms.creator | Nazarov, Serguei A. | |
dcterms.creator | Specovius-Neugebauer, Maria | |
dcterms.isPartOf | Mathematische Schriften Kassel ;; 05, 08 | ger |
dc.subject.msc | 76M99 | eng |
dc.subject.msc | 76D05 | eng |
dc.subject.msc | 35Q30 | eng |
dcterms.source.journal | Mathematische Schriften Kassel | ger |
dcterms.source.volume | 05, 08 | |