Asymptotic analysis of the Navier-Stokes equations

@inproceedings{Foia1983AsymptoticAO,
  title={Asymptotic analysis of the Navier-Stokes equations},
  author={Ciprian Foiaș and Oscar P. Manley and Roger Temam and Yvain M. Treve},
  year={1983}
}
Abstract New bounds are established on the number of modes which determine the solutions of the Navier-Stokes equations in two dimensions. The best bound available at present is nearly proportional to the generalized Grashof number (defined in the paper), and less than logarithmically dependent on the spatial structure, or the shape of the force driving the flow. To the extent than for the case of 2-dimensional Rayleigh-Benard convection, the generalized Grashof number may be identified with… CONTINUE READING

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