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Please use this identifier to cite or link to this item: http://nbn-resolving.de/urn:nbn:de:hebis:34-2007022617254

Title: Lagrangian approximations and weak solutions of the Navier-Stokes equations
Authors: Varnhorn, Werner
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 2007
Series/Report no.: Mathematische Schriften Kassel07, 02
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.
URI: urn:nbn:de:hebis:34-2007022617254
Appears in Collections:Mathematische Schriften Kassel

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