The Damped-Driven 2D Navier–Stokes System on Large Elongated Domains Academic Article uri icon

abstract

  • 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.

citation count

  • 7

publication date

  • February 2007