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The Navier-Stokes Equations with Time Delay

Varnhorn, Werner

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).

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Citation
In: Mathematische Schriften Kassel 07, 05 / (2007) , S. ; 
@article{urn:nbn:de:hebis:34-2008022120437,
  author    ={Varnhorn, Werner},
  title    ={The Navier-Stokes Equations with Time Delay},
  copyright  ={https://rightsstatements.org/page/InC/1.0/},
  language ={en},
  year   ={2007}
}