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Title: The Navier-Stokes Equations with Particle Methods
Authors: Varnhorn, Werner
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 2007
Series/Report no.: Mathematische Schriften Kassel07, 04
Abstract: The 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.
URI: urn:nbn:de:hebis:34-2008022020404
Appears in Collections:Mathematische Schriften Kassel

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