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Communications in Mathematical Physics

, Volume 158, Issue 2, pp 327–339 | Cite as

A sharp lower bound for the Hausdorff dimension of the global attractors of the 2D Navier-Stokes equations

  • Vincent Xiaosong Liu
Article

Abstract

For a special class of the Navier-Stokes equations on the two-dimensional torus, we give a lower bound in the formG2/3 (whereG is the Grashof number) for the Hausdorff dimension of its global attractor which is optimal up to a logarithmic term.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Special Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Vincent Xiaosong Liu
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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