Sharp Estimates for the Number of Degrees of Freedom for the Damped-Driven 2-D Navier-Stokes Equations

@article{Ilyin2006SharpEF,
  title={Sharp Estimates for the Number of Degrees of Freedom for the Damped-Driven 2-D Navier-Stokes Equations},
  author={Alexei A. Ilyin and Edriss S. Titi},
  journal={J. Nonlinear Science},
  year={2006},
  volume={16},
  pages={233-253}
}
A. A. Ilyin1 and E. S. Titi2 1 Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya Sq. 4, 125047 Moscow, Russia e-mail: ilyin@spp.keldysh.ru 2 Department of Mathematics and Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 92697 e-mail: etiti@math.uci.edu Also: Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, P.O. Box 26, Rehovot, 76100, Israel e-mail: edriss.titi@weizmann.ac.il 
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Showing 1-10 of 47 references

Finite fractal dimension and Hölder-Lipschitz parametrization

C. Foias, E. Olson
Indiana Univ. Math. J • 1996
View 4 Excerpts
Highly Influenced

Determining degrees of freedom for nonlinear dissipative systems, C

B. Cockburn, D. Jones, E. S. Titi
R. Acad. Sci. Paris 321, • 1995
View 5 Excerpts
Highly Influenced

Upper bounds on the number of determining modes, nodes, and volume elements for the Navier-Stokes equations

D. Jones, E. S. Titi
Indiana Univ. Math. J. 42, • 1993
View 5 Excerpts
Highly Influenced

Lieb-Thirring integral inequalities and their applications to attractors of the Navier-Stokes equations, Mat

A. A. Ilyin
Sbornik 196:1, • 2005
View 2 Excerpts

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