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Hausdorff dimension of attractors for the two-dimensional Navier-Stokes equations with boundary conditions

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Publication:1085861
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DOI10.1007/BF01238931zbMath0608.58031OpenAlexW2053322447MaRDI QIDQ1085861

André Lafon

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01238931

zbMATH Keywords

entropyNavier-Stokes equationsHausdorff dimensionviscous incompressible fluidKolmogorov-Sinai invariant


Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Navier-Stokes equations (35Q30)




Cites Work

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  • Large volume limit of the distribution of characteristic exponents in turbulence
  • Characteristic exponents for a viscous fluid subjected to time dependent forces
  • On characteristic exponents in turbulence
  • Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
  • Attractors of partial differential evolution equations and estimates of their dimension
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