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Approximation of exponential order of the attractor of a turbulent flow

  • Published:1994-05 Issue:4 Volume:72 Page:372-389
  • ISSN:0167-2789
  • Container-title:Physica D: Nonlinear Phenomena
  • language:en
  • Short-container-title:Physica D: Nonlinear Phenomena

Author:

Debussche A.,Dubois T.

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference18 articles.

1. Inertial range in two-dimensional turbulence;Kraichnan;Phys. Fluids,1967

2. Some analytic and geometric properties of the solutions of the Navier-Stokes equations;Foias;J. Math. Pures Appl.,1979

3. On the dimension of the attractors in two-dimensional turbulence;Constantin;Physica D,1988

4. Inertial manifolds for nonlinear evolutionary equations;Foias;J. Diff. Eq.,1988

5. A. Debussche and R. Temam, Inertial manifolds and their dimension, in: Proc. Soderstorns sommar Universitet 1992, to appear.

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4. Incremental unknowns, multilevel methods and the numerical simulation of turbulence;Computer Methods in Applied Mechanics and Engineering;1998-07

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