American Institute of Mathematical Sciences

November  2013, 12(6): 2829-2838. doi: 10.3934/cpaa.2013.12.2829

Remarks on the approximation of the Navier-Stokes equations via the implicit Euler scheme

 1 Indiana University - Mathematics Department, Bloomington, IN 47405, United States

Received  November 2012 Revised  March 2013 Published  May 2013

In this short note, we exploit the tools of multivalued dynamical systems to prove that the stationary statistical properties of the fully implicit Euler scheme converge, as the time-step parameter vanishes, to the stationary statistical properties of the two-dimensional Navier-Stokes equations.
Citation: Michele Coti Zelati. Remarks on the approximation of the Navier-Stokes equations via the implicit Euler scheme. Communications on Pure & Applied Analysis, 2013, 12 (6) : 2829-2838. doi: 10.3934/cpaa.2013.12.2829
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