Lagrangian approximations and weak solutions of the Navier-Stokes equations
| dc.date.accessioned | 2007-02-26T10:43:20Z | |
| dc.date.available | 2007-02-26T10:43:20Z | |
| dc.date.issued | 2007 | |
| dc.identifier.uri | urn:nbn:de:hebis:34-2007022617254 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/2007022617254 | |
| dc.format.extent | 196288 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.rights | Urheberrechtlich geschützt | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | Navier-Stokes equations | eng |
| dc.subject | Lagrangian representation | eng |
| dc.subject | Weak solutions | eng |
| dc.subject.ddc | 510 | |
| dc.title | Lagrangian approximations and weak solutions of the Navier-Stokes equations | eng |
| dc.type | Preprint | |
| dcterms.abstract | The motion of a viscous incompressible fluid flow in bounded domains with a smooth boundary can be described by the nonlinear Navier-Stokes equations. This description corresponds to the so-called Eulerian approach. We develop a new approximation method for the Navier-Stokes equations in both the stationary and the non-stationary case by a suitable coupling of the Eulerian and the Lagrangian representation of the flow, where the latter is defined by the trajectories of the particles of the fluid. The method leads to a sequence of uniquely determined approximate solutions with a high degree of regularity containing a convergent subsequence with limit function v such that v is a weak solution of the Navier-Stokes equations. | eng |
| dcterms.accessRights | open access | |
| dcterms.creator | Varnhorn, Werner | |
| dcterms.isPartOf | Mathematische Schriften Kassel ;; 07, 02 | ger |
| dc.subject.msc | 35B65 | eng |
| dc.subject.msc | 35D05 | eng |
| dc.subject.msc | 76D05 | eng |
| dcterms.source.journal | Mathematische Schriften Kassel | ger |
| dcterms.source.volume | 07, 02 |
