The Damped-Driven 2D Navier–Stokes System on Large Elongated Domains
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The Navier-Stokes system with damping, which is motivated by Stommel-Charney model of ocean circulation, is considered in a large elongated periodic rectangular domain with area of the order α-1, as α → 0. We obtain estimates for the dimension of the global attractor that are sharp as both α → 0 and ν → 0, where ν is the viscosity coefficient. © 2007 Birkhaueser.
author list (cited authors)
Ilyin, A. A., & Titi, E. S.