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Title: The Navier-Stokes Equations with Time Delay
Authors: Varnhorn, Werner
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 2007
Series/Report no.: Mathematische Schriften Kassel07, 05
Abstract: In the present paper we use a time delay epsilon > 0 for an energy conserving approximation of the nonlinear term of the non-stationary Navier-Stokes equations. We prove that the corresponding initial value problem (N_epsilon)in smoothly bounded domains G \subseteq R^3 is well-posed. Passing to the limit epsilon \rightarrow 0 we show that the sequence of stabilized solutions has an accumulation point such that it solves the Navier-Stokes problem (N_0) in a weak sense (Hopf).
URI: urn:nbn:de:hebis:34-2008022120437
Appears in Collections:Mathematische Schriften Kassel

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