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The Navier-Stokes Equations with Particle Methods

dc.date.accessioned2008-02-20T11:03:46Z
dc.date.available2008-02-20T11:03:46Z
dc.date.issued2007
dc.identifier.uriurn:nbn:de:hebis:34-2008022020404
dc.identifier.urihttp://hdl.handle.net/123456789/2008022020404
dc.format.extent301779 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.rightsUrheberrechtlich geschützt
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectNavier-Stokes approximationeng
dc.subjectweak solutionseng
dc.subjectcompatibility conditioneng
dc.subject.ddc510
dc.titleThe Navier-Stokes Equations with Particle Methodseng
dc.typePreprint
dcterms.abstractThe non-stationary nonlinear Navier-Stokes equations describe the motion of a viscous incompressible fluid flow for 0<t≤T in some bounded three-dimensional domain. Up to now it is not known wether these equations are well-posed or not. Therefore we use a particle method to develop a system of approximate equations. We show that this system can be solved uniquely and globally in time and that its solution has a high degree of spatial regularity. Moreover we prove that the system of approximate solutions has an accumulation point satisfying the Navier-Stokes equations in a weak sense.eng
dcterms.accessRightsopen access
dcterms.creatorVarnhorn, Werner
dcterms.isPartOfMathematische Schriften Kassel ;; 07, 04ger
dc.subject.msc35B65eng
dc.subject.msc35D05eng
dc.subject.msc76D05eng
dcterms.source.journalMathematische Schriften Kasselger
dcterms.source.volume07, 04


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