Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane

DOI10.1063/1.2710349zbMath1144.81335OpenAlexW1982630149MaRDI QIDQ3529762

Ciprian Foias, Radu Dascaliuc, Michael S. Jolly

Publication date: 14 October 2008

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

Full work available at URL: https://doi.org/10.1063/1.2710349

Mathematics Subject Classification ID

Attractors (35B41) Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Navier-Stokes equations (35Q30) Dynamical systems approach to turbulence (76F20)

Related Items (8)

Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data ⋮ On energy cascades in the forced 3D Navier-Stokes equations ⋮ Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence ⋮ Regularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and three ⋮ On the global attractor of 2D incompressible turbulence with random forcing ⋮ Bounds on energy and enstrophy for the 3D Navier-Stokes-\(\alpha\) and Leray-\(\alpha\) models ⋮ On the attractor for the semi-dissipative Boussinesq equations ⋮ 2-D turbulence for forcing in all scales

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