On the Fractal Dimension of Attractors for Viscous Incompressible Fluid Flows

DOI10.1137/0517080zbMath0626.35078OpenAlexW2040140816MaRDI QIDQ3029484

Jean-Michel Ghidaglia

Publication date: 1986

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0517080

zbMATH Keywords

Navier-Stokes equationsattractorsHilbert spaceRiemannian manifoldmagnetohydrodynamic equationsfinite fractal dimensioninvariant subsetabstract initial value problemthermohydraulic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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