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On the dimension of attractors for Navier-Stokes equations on two- dimensional compact manifolds

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Publication:1802869
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zbMath0771.35045MaRDI QIDQ1802869

Alexei A. Ilyin

Publication date: 29 June 1993

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

global attractorHausdorff dimensionfractal dimensioncompact manifold


Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Heat and other parabolic equation methods for PDEs on manifolds (58J35)


Related Items (4)

On attractor’s dimensions of the modified Leray-alpha equation ⋮ Asymptotic behavior of solutions to barotropic vorticity equation on a sphere ⋮ Length scales for the Navier-Stokes equations on a rotating sphere ⋮ Qualitative properties of solutions to vorticity equation for a viscous incompressible fluid on a rotating sphere







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